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Recent questions and answers in Calculus
0
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1
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1
ISI MMA2015
Let, $a_{n} \;=\; \left ( 1\frac{1}{\sqrt{2}} \right ) ... \left ( 1 \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
answered
2 days
ago
in
Calculus
by
venkatesh pagadala
(
415
points)

37
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engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+1
vote
1
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2
ISI MMA2015
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\;(\geq2)$ and $n\;(\geq1)$ respectively, satisfy $f(x^{2}+1) = f(x)g(x)$ $,$ for every $x\in \mathbb{R}$ , then (A) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) \neq 0$ (B) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) = 0$ (C) $f$ has $m$ distinct real roots (D) $f$ has no real root.
answered
2 days
ago
in
Calculus
by
Kushagra Chatterjee
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8.8k
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32
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engineeringmathematics
calculus
userisi2015
usermod
+1
vote
5
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3
GATE201913
Compute $\lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
answered
Feb 12
in
Calculus
by
Satbir
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5.1k
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1.4k
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gate2019
engineeringmathematics
calculus
limits
+2
votes
3
answers
4
VALUE OF LIMIT
What is value of $\lim_{x\rightarrow 0, Y\rightarrow 0}\frac{xY}{x^2+Y^2}$ 1 1 0 Does not exist
answered
Jan 28
in
Calculus
by
Sai Shravan
(
149
points)

269
views
limits
+5
votes
3
answers
5
TIFR2011A11
$\int_{0}^{1} \ln x\, \mathrm{d}x=$ $1$ $1$ $\infty $ $\infty $ None of the above.
answered
Jan 26
in
Calculus
by
Lakshman Patel RJIT
Boss
(
29k
points)

439
views
tifr2011
calculus
integration
0
votes
0
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6
How to solve such question.
$\frac{d}{dx}\int_{1}^{x^4} sect\space dt$
asked
Jan 20
in
Calculus
by
`JEET
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(
3.3k
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70
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calculus
integration
0
votes
0
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7
Made easy workbok
asked
Jan 19
in
Calculus
by
chanchala3993
(
7
points)

17
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maximaminima
workbookquestion
madeeasybooklet
0
votes
0
answers
8
Calculating average mean
The aggregate monthly expenditure of a family was $ 6240 during first 3 months, $ 6780 during next 4 months, and $7236 during last 5 months of a year. If total saving during the year is $ 7080. Find average monthly income of family?
asked
Jan 13
in
Calculus
by
Alina
(
27
points)

27
views
0
votes
0
answers
9
ACE TEST SERIES
Can anyone help me with solving this type of problem? I want some resource from where I can learn to solve this type on integration, as according to solution it is a function of α, so I did not understand the solution.
asked
Jan 12
in
Calculus
by
jhaanuj2108
(
215
points)

51
views
acetestseries
calculus
integration
0
votes
1
answer
10
How to solve such question with different variable in the limit.
$\int_{a}^{x} \frac{sint}{t} dt$ (x > 0), then f(x) has _________________. (A) a maximum at x = $n\pi$ where n is even (B) a minimum at x = $n\pi$ where n is odd (C) a maximum at x = $n\pi$ where n is odd (D) a minimum at x = $\frac{n\pi}{2}$ where n is odd.
answered
Jan 12
in
Calculus
by
Pranavapp
(
11
points)

55
views
0
votes
1
answer
11
Integration
How to solve it?
answered
Jan 11
in
Calculus
by
adeemajain
(
281
points)

50
views
0
votes
1
answer
12
GATEBOOK2019 Grand Test Mathematics8
The value of $\large\int\limits_{1}^{4} \mid y2 \mid dy$ is $3$ $\left (\dfrac{3}{2} \right )$ $\left (\dfrac{5}{2} \right )$ $\left (\dfrac{7}{2} \right )$
answered
Jan 10
in
Calculus
by
pranay562
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1.2k
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70
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gb2019gtmaths
0
votes
1
answer
13
ME TEST SERIES
answered
Jan 10
in
Calculus
by
Kunal Kadian
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2.6k
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49
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+1
vote
1
answer
14
UPPCL AE 2018:85
answered
Jan 5
in
Calculus
by
Lakshman Patel RJIT
Boss
(
29k
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80
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uppcl2018
0
votes
0
answers
15
UPPCL AE 2018:81
asked
Jan 5
in
Calculus
by
Lakshman Patel RJIT
Boss
(
29k
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36
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uppcl2018
0
votes
1
answer
16
self doubt
$\lim_{x\rightarrow \frac{\pi }{2}}cosx^{cosx}$ can we straight away say $0^{0}=0$ ?
answered
Jan 5
in
Calculus
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Nandkishor3939
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1.2k
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40
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calculus
0
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1
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17
calculus question
Question Number 4?
answered
Jan 5
in
Calculus
by
GATE2021
(
11
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40
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calculus
0
votes
1
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18
GATE 2013 MA Calculus
answered
Jan 3
in
Calculus
by
pradeepchaudhary
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1.1k
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22
views
0
votes
0
answers
19
#integration
I=$\int_{1}^{\infty }a^{ceil (log _{b} x ) } dx$
asked
Jan 3
in
Calculus
by
amit166
Junior
(
693
points)

43
views
integration
0
votes
0
answers
20
#integration
$I=\int sin(2x) cos(3x) dx$ 1.(5cosxcos5x)/10 2.(5sinxsin5x)/10 3.both 4.none
asked
Jan 3
in
Calculus
by
amit166
Junior
(
693
points)

61
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integration
0
votes
0
answers
21
Math doubt
Is it true $\frac{1}{1+x^{2}}=1x^{2}$ Is it applied every function? (like limit func, generating func)?
asked
Jan 3
in
Calculus
by
srestha
Veteran
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108k
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49
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discretemathematics
0
votes
0
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22
Clarification on Topic
In the syllabus it was said “differentiability” does this mean we have partial differentiation.??
asked
Jan 2
in
Calculus
by
Hemanth_13
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6.5k
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22
views
generalquery
0
votes
1
answer
23
Integration
If n is a positive integer, then $\int_{0}^{\pi} \frac{sin(2nx)}{sinx} dx$
answered
Dec 27, 2018
in
Calculus
by
vg653
(
111
points)

61
views
0
votes
0
answers
24
Shortcut Method to find Maxima and Minima in Calculus
https://www.youtube.com/watch?v=tyiQLindzCE This is a great video but covers formula for cubic root what about for any given equation x^n,what would be the solution?
asked
Dec 26, 2018
in
Calculus
by
sripo
Active
(
1.5k
points)

64
views
calculus
maximaminima
engineeringmathematics
gate
0
votes
0
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25
self doubt
How to solve these questions $(1)$ $I=\int_{0}^{1}(xlogx)^{4}dx$ $(2)$ $I=\frac{1}{\sqrt{2\pi}}\int_{0}^{\infty}e^{\frac{x^{2}}{8}}dx$ $(3)$ $I=\int_{0}^{\infty}x^{\frac{1}{4}}.e^{\sqrt{x}}dx$
asked
Dec 23, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
29k
points)

84
views
engineeringmathematics
calculus
+1
vote
2
answers
26
Maths: Limit question
$\lim_{n\rightarrow \infty} \left[\frac{n.2^n}{e^n}\right]$ The detailed solution, please?
answered
Dec 20, 2018
in
Calculus
by
Peeyush Pandey
Active
(
2.5k
points)

74
views
limits
calculus
engineeringmathematics
0
votes
0
answers
27
GATE EE 2018
[closed]
asked
Dec 18, 2018
in
Calculus
by
aditi19
Active
(
2.3k
points)

52
views
gate2018analysis
engineeringmathematics
calculus
continuity
differentiability
0
votes
0
answers
28
#maths #limit
asked
Dec 18, 2018
in
Calculus
by
Manan Shah
(
129
points)

43
views
+3
votes
2
answers
29
Lagrange 's Mean Value Theorem 2
If f ' (x) =$\frac{8}{x^{}2+3x+4}$ and f(0) =1 then the lower and upper bounds of f(1) estimated by Langrange 's Mean Value Theorem are ___
answered
Dec 15, 2018
in
Calculus
by
Mounodeep
(
21
points)

565
views
meanvaluetheorem
calculus
0
votes
0
answers
30
aai 2018
asked
Dec 13, 2018
in
Calculus
by
pream sagar
Active
(
1.7k
points)

43
views
0
votes
0
answers
31
GATE 2016 MA Limits
asked
Dec 12, 2018
in
Calculus
by
Balaji Jegan
Active
(
4.8k
points)

23
views
0
votes
0
answers
32
GATE 2016 MA Calculus
asked
Dec 12, 2018
in
Calculus
by
Balaji Jegan
Active
(
4.8k
points)

24
views
0
votes
0
answers
33
GATE 2013 MA Calculus
asked
Dec 12, 2018
in
Calculus
by
Balaji Jegan
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(
4.8k
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21
views
0
votes
0
answers
34
GATE 2013 MA Calculus
asked
Dec 12, 2018
in
Calculus
by
Balaji Jegan
Active
(
4.8k
points)

24
views
0
votes
0
answers
35
Self Doubt
Plese explain me this series
asked
Dec 11, 2018
in
Calculus
by
HeadShot
Active
(
4.6k
points)

42
views
+1
vote
0
answers
36
GATE 2007 MA Calculus
asked
Dec 11, 2018
in
Calculus
by
Balaji Jegan
Active
(
4.8k
points)

26
views
+3
votes
1
answer
37
TIFR GS 2019
How to solve it$?$ $\int_{0}^{1}\frac{x^{300}}{(x^{3}+x^{2}+1)}dx$ a.0.00 b.0.33 c.0.02 d.0.03 d.0.04 two decimal digit
answered
Dec 10, 2018
in
Calculus
by
rahulvats1996
(
175
points)

491
views
integration
usertifr2019
usermod
0
votes
0
answers
38
diffrentiability test
which of the following are differentiable at x=0 $X^{3}$ 2.  $X^{3}$ 
asked
Dec 9, 2018
in
Calculus
by
hitendra singh
Active
(
1.7k
points)

40
views
+12
votes
5
answers
39
GATE2017128
The value of $\lim_{x\rightarrow 1} \frac{x^{7}2x^{5}+1}{x^{3}3x^{2}+2}$ is $0$ is $1$ is $1$ does not exist
answered
Dec 6, 2018
in
Calculus
by
Rackson
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(
1.9k
points)

2.1k
views
gate20171
calculus
limits
normal
+5
votes
2
answers
40
TIFR2011A4
Consider the problem of maximizing $x^{2}2x+5$ such that $0< x< 2$. The value of $x$ at which the maximum is achieved is: $0.5$ $1$ $1.5$ $1.75$ None of the above.
answered
Dec 4, 2018
in
Calculus
by
HeadShot
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4.6k
points)

372
views
tifr2011
calculus
maximaminima
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