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Recent questions tagged limits
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Best Open Video Playlist for Limits Topic | Calculus
Please list out the best free available video playlist for Limits Topic from Calculus as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You can add any video ... ) but standard ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
4 days
ago
by
makhdoom ghaya
8
views
missing-videos
go-classroom
free-videos
video-links
limits
0
votes
2
answers
2
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
kidussss
asked
in
Calculus
Jul 9
by
kidussss
251
views
limits
calculus
3
votes
4
answers
3
GATE CSE 2022 | Question: 24
The value of the following limit is ________________. $\lim_{x \rightarrow 0^{+}} \frac{\sqrt{x}}{1-e^{2\sqrt{x}}}$
Arjun
asked
in
Calculus
Feb 15
by
Arjun
906
views
gatecse-2022
numerical-answers
calculus
limits
0
votes
0
answers
4
Applied Test Series
What is the correct procedure to solve this limit ?
LRU
asked
in
Calculus
Nov 5, 2021
by
LRU
161
views
test-series
engineering-mathematics
calculus
limits
3
votes
1
answer
5
GATE CSE 1995 | Question: 7(B)
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$
Lakshman Patel RJIT
asked
in
Calculus
Apr 25, 2021
by
Lakshman Patel RJIT
599
views
gate1995
calculus
limits
numerical-answers
2
votes
2
answers
6
GATE CSE 2021 Set 1 | Question: 20
Consider the following expression.$\displaystyle \lim_{x\rightarrow-3}\frac{\sqrt{2x+22}-4}{x+3}$The value of the above expression (rounded to 2 decimal places) is ___________.
Arjun
asked
in
Calculus
Feb 18, 2021
by
Arjun
2.6k
views
gatecse-2021-set1
calculus
limits
numerical-answers
0
votes
0
answers
7
TIFR-2019-Maths-A: 6
The limit $\underset{n\rightarrow \infty }{\lim}\:n^{2}\int_{0}^{1}\:\frac{1}{\left ( 1+x^{2} \right )^{n}}\:dx$ is equal to $1$ $0$ $+\infty$ $1/2$
soujanyareddy13
asked
in
Calculus
Aug 30, 2020
by
soujanyareddy13
470
views
tifrmaths2019
limits
0
votes
2
answers
8
NIELIT 2016 MAR Scientist B - Section B: 13
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to $0$ $1$ $1/3$ $1/2$
Lakshman Patel RJIT
asked
in
Calculus
Mar 31, 2020
by
Lakshman Patel RJIT
369
views
nielit2016mar-scientistb
engineering-mathematics
calculus
limits
3
votes
1
answer
9
ISI2014-DCG-2
Let $a_n=\bigg( 1 – \frac{1}{\sqrt{2}} \bigg) \cdots \bigg( 1 – \frac{1}{\sqrt{n+1}} \bigg), \: n \geq 1$. Then $\underset{n \to \infty}{\lim} a_n$ equals $1$ does not exist equals $\frac{1}{\sqrt{\pi}}$ equals $0$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
467
views
isi2014-dcg
calculus
limits
4
votes
4
answers
10
ISI2014-DCG-3
$\underset{x \to \infty}{\lim} \left( \frac{3x-1}{3x+1} \right) ^{4x}$ equals $1$ $0$ $e^{-8/3}$ $e^{4/9}$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
814
views
isi2014-dcg
calculus
limits
3
votes
4
answers
11
ISI2014-DCG-4
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to $\infty$ $0$ $\log_e 2$ $1$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
573
views
isi2014-dcg
calculus
limits
2
votes
2
answers
12
ISI2014-DCG-17
$\underset{x \to 2}{\lim} \dfrac{1}{1+e^{\frac{1}{x-2}}}$ is $0$ $1/2$ $1$ non-existent
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
315
views
isi2014-dcg
calculus
limits
1
vote
0
answers
13
ISI2014-DCG-33
Let $f(x)$ be a continuous function from $[0,1]$ to $[0,1]$ satisfying the following properties. $f(0)=0$, $f(1)=1$, and $f(x_1)<f(x_2)$ for $x_1 < x_2$ with $0 < x_1, \: x_2<1$. Then the number of such functions is $0$ $1$ $2$ $\infty$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
271
views
isi2014-dcg
calculus
functions
limits
2
votes
2
answers
14
ISI2014-DCG-37
Let $f: \bigg( – \dfrac{\pi}{2}, \dfrac{\pi}{2} \bigg) \to \mathbb{R}$ be a continuous function, $f(x) \to +\infty$ as $x \to \dfrac{\pi^-}{2}$ and $f(x) \to – \infty$ as $x \to -\dfrac{\pi^+}{2}$. Which one of the following functions satisfies the above properties of $f(x)$? $\cos x$ $\tan x$ $\tan^{-1} x$ $\sin x$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
313
views
isi2014-dcg
calculus
functions
limits
continuity
0
votes
0
answers
15
ISI2014-DCG-43
Let $f(x) = \begin{cases}\mid \:x \mid +1, & \text{ if } x<0 \\ 0, & \text{ if } x=0 \\ \mid \:x \mid -1, & \text{ if } x>0. \end{cases}$ Then $\underset{x \to a}{\lim} f(x)$ exists if $a=0$ for all $a \in R$ for all $a \neq 0$ only if $a=1$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
179
views
isi2014-dcg
calculus
functions
limits
0
votes
0
answers
16
ISI2014-DCG-50
$\underset{x \to 0}{\lim} \dfrac{x \tan x}{1- \cos tx}$ is equal to $0$ $1$ $\infty$ $2$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
231
views
isi2014-dcg
calculus
limits
2
votes
2
answers
17
ISI2015-MMA-10
The value of the infinite product $P=\frac{7}{9} \times \frac{26}{28} \times \frac{63}{65} \times \cdots \times \frac{n^3-1}{n^3+1} \times \cdots \text{ is }$ $1$ $2/3$ $7/3$ none of the above
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
523
views
isi2015-mma
calculus
limits
0
votes
2
answers
18
ISI2015-MMA-19
The limit $\:\:\:\underset{n \to \infty}{\lim} \Sigma_{k=1}^n \begin{vmatrix} e^{\frac{2 \pi i k }{n}} – e^{\frac{2 \pi i (k-1) }{n}} \end{vmatrix}\:\:\:$ is $2$ $2e$ $2 \pi$ $2i$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
548
views
isi2015-mma
calculus
limits
non-gate
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