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Recent questions tagged limits
0
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1
answer
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 $0$
asked
Feb 21
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

98
views
engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+1
vote
5
answers
2
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
+2
votes
3
answers
3
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 $lim_{nā\infty}$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
+2
votes
1
answer
4
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
5
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
0
votes
0
answers
6
calculus
what is difference between this and in questions if asked to find derivative or check differentiable or not, which formula should i use? 1) $lim_{h\rightarrow 0} \frac{f(a+h)f(a)}{h}$ 2) $lim_{x\rightarrow a} \frac{f(x)f(a)}{xa}$
asked
Sep 16, 2018
in
Calculus
by
Rahul_Rathod_
Junior
(
561
points)

40
views
limits
calculus
+1
vote
2
answers
7
Maths: Limit question
$\lim_{n\rightarrow \infty} \left[\frac{n.2^n}{e^n}\right]$ The detailed solution, please?
asked
Sep 14, 2018
in
Calculus
by
chauhansunil20th
Active
(
4.9k
points)

86
views
limits
calculus
engineeringmathematics
+1
vote
1
answer
8
Limit
Puzzle $\lim_{y\rightarrow \alpha }\left (y\left ( y^{2}+y \right )^{\frac{1}{2}}\right )$
asked
May 30, 2018
in
Calculus
by
srestha
Veteran
(
110k
points)

141
views
limits
calculus
engineeringmathematics
0
votes
0
answers
9
Limits
$\displaystyle\lim_{x \to 0} \left[ \dfrac{log(1+x)}{x} \right] ^{\dfrac{1}{x}} $
asked
May 29, 2018
in
Mathematical Logic
by
Nymeria
(
429
points)

75
views
engineeringmathematics
calculus
limits
+2
votes
2
answers
10
Limit
Is answer will be 1 or 5? $\lim_{x\rightarrow \alpha }\left ( \frac{x+6}{x+1} \right )^{x+4}$
asked
May 26, 2018
in
Calculus
by
srestha
Veteran
(
110k
points)

156
views
limits
calculus
engineeringmathematics
0
votes
1
answer
11
ISI201605
Let $f(x,y) = \begin{cases} \dfrac{x^2y}{x^4+y^2}, & \text{ if (x,y) }\neq\text{(0,0) }\\ 0 & \text{ if (x,y) = (0,0)}\end{cases}$ Then $\displaystyle{\lim_{(x,y)\rightarrow(0,0)}}f (x,y)$ $\text{equals 0}$ $\text{equals 1}$ $\text{equals 2}$ $\text{does not exist}$
asked
Mar 31, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.7k
points)

73
views
isi2016
engineeringmathematics
limits
+2
votes
2
answers
12
ISI201714
Let $(v_n)$ be a sequence defined by $v_1 = 1$ and $v_{n+1} = \sqrt{v_n^2 +\left(\dfrac{1}{5}\right)^n}$ for $n\geq1$. Then $\displaystyle{\lim_{n \rightarrow \infty}v_n}$ is $\sqrt{5/3}$ $\sqrt{5/4}$ $1$ $\text{non existent}$
asked
Mar 27, 2018
in
Calculus
by
jjayantamahata
Active
(
1.7k
points)

168
views
isi2017
limits
+1
vote
1
answer
13
ISI2014
Consider the function for all $x \in (0,1),$ $\begin{equation}f(x) =\begin{cases}x &\text{if x is rational}\\1x & \text{otherwise.}\end{cases} \end{equation}$ Then, the function $f$ is everywhere continuous on $(0,1)$ continuous only on rational points in $(0,1)$ nowhere continuous on $(0,1)$ continuous only at a single point in $(0,1)$
asked
Mar 15, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.7k
points)

111
views
limits
calculus
+1
vote
1
answer
14
GATE 2018 Maths  33 (Chemical Engineering)
If $y = e^{x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .
asked
Feb 20, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
34.3k
points)

259
views
gate2018
engineeringmathematics
calculus
limits
+1
vote
0
answers
15
Limits
Is there any other way instead of using general formula for sum of "to the 4" of first n natural numbers
asked
Feb 2, 2018
in
Numerical Ability
by
Nishtha3121996
(
273
points)

132
views
limits
+2
votes
1
answer
16
Calculus Limit
Find the value of Here I got till $lim_{x \rightarrow \infty} \frac{4^2 + \frac{3^x}{4^x}}{4^{2}}$. But how to proceed further?
asked
Jan 30, 2018
in
Calculus
by
Shubhanshu
Boss
(
19.2k
points)

187
views
limits
calculus
engineeringmathematics
+2
votes
0
answers
17
madeEasy Test Series 2018: Calculas  Limits
The value of $\lim_{x\rightarrow \infty }\left ( \frac{4^{x+2} + 3^{x}}{4^{x2}} \right )$ is
asked
Jan 26, 2018
in
Calculus
by
sumit chakraborty
Active
(
1.3k
points)

90
views
engineeringmathematics
calculus
limits
madeeasytestseries
+2
votes
1
answer
18
Limits
Find the value of above limit. How to approach with this type of infinity power infinity problems ?? im thinking like first we should convert this to 1 power infinity problem and then solve?? is it correct ?? please solve above que
asked
Jan 25, 2018
in
Mathematical Logic
by
Anjan
Active
(
1.7k
points)

77
views
calculus
limits
engineeringmathematics
+2
votes
0
answers
19
Limits
asked
Jan 22, 2018
in
Calculus
by
vishal chugh
Active
(
1.8k
points)

80
views
limits
engineeringmathematics
calculus
+3
votes
1
answer
20
Calculus (LIMITS)
Answer is 1. I also know the procedure. My question is why isn't this formula working? Am I doing something wrong?
asked
Jan 21, 2018
in
Calculus
by
Nymeria
(
429
points)

125
views
engineeringmathematics
calculus
limits
+3
votes
0
answers
21
Limits
What is the value of ?
asked
Jan 15, 2018
in
Calculus
by
Shubhanshu
Boss
(
19.2k
points)

121
views
calculus
limits
engineeringmathematics
+2
votes
0
answers
22
Continuity and Differentiability of root mod function
1) Consider f(x) = $x^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $x1^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{2}^{2}1x^4dx$. I am getting 8/5, but answer is 12.
asked
Dec 31, 2017
in
Calculus
by
Shubhanshu
Boss
(
19.2k
points)

259
views
limits
continuity
function
calculus
+3
votes
1
answer
23
Limit and Continuity
Evaluate the given limit : $lim_{x\rightarrow0} \ {\Large \frac{(1+x)^{\frac{1}{x}}e}{x}}$ options : $ \\ a) \frac{e}{8} \\ b) \frac{e}{2} \\ c) \frac{e}{4} \\ d) 1$
asked
Dec 31, 2017
in
Calculus
by
saxena0612
Boss
(
12.1k
points)

200
views
engineeringmathematics
calculus
limits
0
votes
1
answer
24
MadeEasy Test Series: Calculus  Limits
How it solve this ?
asked
Dec 26, 2017
in
Calculus
by
Kalpataru Bose
Junior
(
507
points)

165
views
madeeasytestseries
calculus
limits
engineeringmathematics
+3
votes
0
answers
25
limit question find answer
$\lim_{x\rightarrow\infty}(\sqrt{x}x)=?$
asked
Dec 25, 2017
in
Calculus
by
Lakshman Patel RJIT
Boss
(
34.3k
points)

395
views
calculus
limits
+2
votes
1
answer
26
Limit question
$\lim_{x\rightarrow0}\frac{x^{2}+1}{x(x1)}=?$
asked
Dec 25, 2017
in
Calculus
by
Lakshman Patel RJIT
Boss
(
34.3k
points)

145
views
limits
0
votes
0
answers
27
Limit exists L'Hospital Rule
Consider we have a limit of the form $\dfrac{0}{0}\ or\ \dfrac{\infty}{\infty} $ and we need to find the value of the limit. Since we have an indeterminate form should we apply L' Hospital rule until the indeterminate form have ... whether the limit exists and then apply do L'Hospital? Which is the correct approach? Ref: https://gateoverflow.in/118309/gate2017128
asked
Dec 23, 2017
in
Calculus
by
Tuhin Dutta
Loyal
(
9.4k
points)

131
views
calculus
limits
lhospital
+3
votes
1
answer
28
Limit
the value of : $\lim_{x \rightarrow 0}(\frac{1}{x^2}  \frac{1}{sin^2x})$ Is_______ Answer given is 1\3
asked
Nov 18, 2017
in
Calculus
by
Shubhanshu
Boss
(
19.2k
points)

255
views
engineeringmathematics
calculus
limits
+1
vote
2
answers
29
virtualgate
asked
Nov 18, 2017
in
Calculus
by
Manoja Rajalakshmi A
Boss
(
11k
points)

121
views
limits
+1
vote
2
answers
30
virtual gate
asked
Nov 18, 2017
in
Calculus
by
Manoja Rajalakshmi A
Boss
(
11k
points)

84
views
limits
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