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Recent questions tagged calculus
Webpage for Calculus:
+1
vote
1
answer
1
ISIMMA 2019 Sample Questions23
For $n \geq1$, Let $a_{n} = \frac{1}{2^{2}} + \frac{2}{3^{2}} +.....+ \frac{n}{(n+1)^{2}}$ and $b_{n} = c_{0} + c_{1}r + c_{2}r^{2}+.....+c_{n}r^{n},$ where$c_{k} \leq M$ for all integers $k$ ... not a Cauchy sequence (C) $\{a_n\}$ is not a Cauchy sequence but $\{b_n\}$ is a Cauchy sequence (D) neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.
asked
Mar 17
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

48
views
sequenceseries
calculus
0
votes
1
answer
2
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 $0$
asked
Feb 21
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

98
views
engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+1
vote
1
answer
3
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.
asked
Feb 20
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

63
views
engineeringmathematics
calculus
userisi2015
usermod
+1
vote
5
answers
4
GATE201913
Compute $\lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked
Feb 7
in
Calculus
by
Arjun
Veteran
(
395k
points)

1.5k
views
gate2019
engineeringmathematics
calculus
limits
0
votes
0
answers
5
How to solve such question.
$\frac{d}{dx}\int_{1}^{x^4} sect\space dt$
asked
Jan 20
in
Calculus
by
`JEET
Active
(
3.4k
points)

79
views
calculus
integration
0
votes
0
answers
6
MadeEasy Workbook: Calculus  Maxima Minima
asked
Jan 19
in
Calculus
by
chanchala3993
(
7
points)

33
views
engineeringmathematics
calculus
maximaminima
madeeasybooklet
0
votes
0
answers
7
Ace Test Series: Calculus  Integration
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
(
227
points)

59
views
acetestseries
calculus
integration
0
votes
1
answer
8
self doubt
$\lim_{x\rightarrow \frac{\pi }{2}}cosx^{cosx}$ can we straight away say $0^{0}=0$ ?
asked
Jan 5
in
Calculus
by
manisha11
Active
(
2k
points)

44
views
calculus
0
votes
1
answer
9
calculus question
Question Number 4?
asked
Jan 4
in
Calculus
by
pradeepchaudhary
Active
(
1.2k
points)

45
views
calculus
0
votes
0
answers
10
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
(
2.6k
points)

75
views
calculus
maximaminima
engineeringmathematics
0
votes
0
answers
11
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
(
34.3k
points)

88
views
engineeringmathematics
calculus
0
votes
0
answers
12
GATE EE 2018
asked
Dec 18, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

65
views
gate2018analysis
engineeringmathematics
calculus
continuity
differentiability
0
votes
0
answers
13
TIFR2019A13
Consider the integral $\int^{1}_{0} \frac{x^{300}}{1+x^2+x^3}$dx$ What is the value of this integral correct up to two decimal places ? $0.00$ $0.02$ $0.10$ $0.33$ $1.00$
asked
Dec 18, 2018
in
Calculus
by
Arjun
Veteran
(
395k
points)

170
views
tifr2019
engineeringmathematics
calculus
integration
+2
votes
3
answers
14
TIFR2019A15
Consider the matrix $\begin{bmatrix} \frac{1}{2} &\frac{1}{2} & 0\\ 0& \frac{3}{4} & \frac{1}{4}\\ 0& \frac{1}{4} & \frac{3}{4} \end{bmatrix}$ What is $lim_{n→\infty}$A^n$ ? $\begin{bmatrix} \ 0 & 0 & 0\\ 0& 0 & 0\ ... The limit exists, but it none of the above
asked
Dec 18, 2018
in
Calculus
by
Arjun
Veteran
(
395k
points)

253
views
tifr2019
engineeringmathematics
calculus
limits
0
votes
0
answers
15
Testbook Test Series: Calculus  Differentiability
If $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ , with boundary conditions $y=8$ at $x=0$ and $dy/dx =4$ at $x=16$, Find the value of $f(2)$ When they say, $y = f(x)$ is a solution of $ d^2y/dx^2 = 0$ What does that mean?
asked
Dec 18, 2018
in
Mathematical Logic
by
shreyansh jain
Active
(
2.2k
points)

57
views
testbooktestseries
differentiability
calculus
0
votes
1
answer
16
GradeUp quizMaxima minima
asked
Nov 28, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

118
views
calculus
engineeringmathematics
maximaminima
0
votes
0
answers
17
Gilbert Strang
$\int_{1}^{∞}\frac{dx}{x^6+1}$
asked
Nov 22, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

66
views
gilbertstrang
calculus
engineeringmathematics
integration
+2
votes
1
answer
18
CalculusIntegration
$\int x^7.e^{x^4}dx$ How to do this?
asked
Nov 22, 2018
in
Calculus
by
Ayush Upadhyaya
Boss
(
25.3k
points)

109
views
calculus
integration
0
votes
1
answer
19
Integration
$\int_{0}^{1}\frac{x^{\alpha }1}{logx}dx$ where $\alpha>0$
asked
Nov 16, 2018
in
Calculus
by
srestha
Veteran
(
110k
points)

83
views
integration
calculus
engineeringmathematics
0
votes
0
answers
20
Gilbert Strang
$\int_{}^{}\frac{x dx}{\sqrt{x^41}}$
asked
Nov 14, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

45
views
gilbertstrang
calculus
engineeringmathematics
integration
+2
votes
1
answer
21
Got from friend
Find the limit of the given expression $\lim_{x\to\frac{\pi}{2}}\left ( \sec x\frac{1}{1\sin x} \right )$
asked
Nov 13, 2018
in
Calculus
by
JeetRabari
(
89
points)

168
views
engineeringmathematics
calculus
limits
0
votes
1
answer
22
Gilbert Strang
Differentiate y=$x^{1/lnx}$
asked
Oct 28, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

41
views
gilbertstrang
calculus
integration
engineeringmathematics
0
votes
0
answers
23
Gilbert Strang
$\int_{0}^{1}(x^2+1)^4dx$
asked
Oct 25, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

65
views
gilbertstrang
calculus
integration
0
votes
1
answer
24
Gilbert Strang
$\int \frac{x^3}{\sqrt{1+x^2}}.dx$
asked
Oct 24, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

101
views
integration
calculus
engineeringmathematics
definiteintegration
0
votes
0
answers
25
Virtual Gate Test Series: Calculus
i have solved it by putting the values
asked
Oct 15, 2018
in
Calculus
by
Prince Sindhiya
Loyal
(
6.3k
points)

41
views
engineeringmathematics
calculus
virtualgatetestseries
0
votes
1
answer
26
limits
Find the limit $\operatorname { lit } _ { x \rightarrow 1 } \left\{ \left( \frac { 1 + x } { 2 + x } \right) ^ { \left( \frac { 1  \sqrt { x } } { 1  x } \right) } \right\}$
asked
Oct 14, 2018
in
Calculus
by
MIRIYALA JEEVAN KUMA
Active
(
2.5k
points)

108
views
limits
calculus
engineeringmathematics
+1
vote
1
answer
27
CalculusDefinite Integral
What is the value of $\int_0^\pi log(1+cosx)dx$
asked
Oct 13, 2018
in
Calculus
by
Ayush Upadhyaya
Boss
(
25.3k
points)

74
views
calculus
integration
engineeringmathematics
0
votes
1
answer
28
Gilbert Strang Doubt
Locate the inflection points and region where f(x) is concave up or down f(x)=$x^3+x^2+x$
asked
Oct 12, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

45
views
gilbertstrang
calculus
0
votes
1
answer
29
Maxima and Minima
Find the stationary points, maxima and minima f(x)=x+1+x1 , 3<=x<=2
asked
Oct 10, 2018
in
Calculus
by
aditi19
Active
(
2.9k
points)

93
views
calculus
engineeringmathematics
maximaminima
0
votes
1
answer
30
Integration
Solve $\int_{0}^{\pi }sin^{5}\frac{x}{2}dx$
asked
Oct 6, 2018
in
Calculus
by
srestha
Veteran
(
110k
points)

96
views
integration
calculus
engineeringmathematics
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