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Recent questions tagged limits
1
votes
2
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31
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 1
Evaluate the limit $ \lim _{x \rightarrow 0} \frac{1-\cos x}{\sin ^{2} x} $ $1$ $\frac{1}{2}$ $2$ $0$
Evaluate the limit$$\lim _{x \rightarrow 0} \frac{1-\cos x}{\sin ^{2} x}$$$1$$\frac{1}{2}$$2$$0$
GO Classes
699
views
GO Classes
asked
Aug 28, 2022
Calculus
goclasses2024-calculus-1
goclasses
calculus
limits
1-mark
+
–
3
votes
1
answer
32
GO Classes Test Series 2023 | Calculus | Test 1 | Question: 2
Determine the value of following limit $ \lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+4 x+1}-x\right) $ $2$ $4$ $\frac{1}{2}$ $3$
Determine the value of following limit$$\lim _{x \rightarrow \infty}\left(\sqrt{x^{2}+4 x+1}-x\right)$$$2$$4$$\frac{1}{2}$$3$
GO Classes
605
views
GO Classes
asked
Aug 28, 2022
Calculus
goclasses2024-calculus-1
goclasses
calculus
limits
1-mark
+
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2
votes
2
answers
33
GO Classes Test Series 2023 | Calculus | Test | Question: 14
Which of the following limit is/are correct? $\displaystyle{}\lim _{x \rightarrow \infty} \sqrt[x]{x}=1$ $\displaystyle{}\lim _{x \rightarrow \infty} \sqrt[x]{x}=e$ $\displaystyle{}\lim _{x \rightarrow \infty}\left(1+\frac{2}{x}\right)^{x}=e^{2}$ $\displaystyle{}\lim _{x \rightarrow \infty}\left(1+\frac{2}{x}\right)^{x}=e$
Which of the following limit is/are correct?$\displaystyle{}\lim _{x \rightarrow \infty} \sqrt[x]{x}=1$$\displaystyle{}\lim _{x \rightarrow \infty} \sqrt[x]{x}=e$$\displa...
GO Classes
495
views
GO Classes
asked
Aug 28, 2022
Calculus
goclasses2024-calculus-1
goclasses
calculus
limits
multiple-selects
2-marks
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0
votes
0
answers
34
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 ... but standard ones are more likely to be selected as best. For the full list of selected videos please see here
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 playlis...
makhdoom ghaya
165
views
makhdoom ghaya
asked
Aug 15, 2022
Study Resources
missing-videos
go-classroom
free-videos
video-links
limits
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1
votes
2
answers
35
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$
kidussss
873
views
kidussss
asked
Jul 8, 2022
Calculus
limits
calculus
+
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0
votes
2
answers
36
Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
Evaluate the question of the following limits. $\lim_{x\rightarrow \infty} \frac{2x^{3}+3x-5}{5x^{3}+1}$
kidussss
472
views
kidussss
asked
Jul 8, 2022
Calculus
calculus
limits
+
–
12
votes
4
answers
37
GATE CSE 2022 | Question: 24
The value of the following limit is ________________. $\lim_{x \rightarrow 0^{+}} \frac{\sqrt{x}}{1-e^{2\sqrt{x}}}$
The value of the following limit is ________________.$$\lim_{x \rightarrow 0^{+}} \frac{\sqrt{x}}{1-e^{2\sqrt{x}}}$$
Arjun
6.5k
views
Arjun
asked
Feb 15, 2022
Calculus
gatecse-2022
numerical-answers
calculus
limits
1-mark
+
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0
votes
0
answers
38
Applied Test Series
What is the correct procedure to solve this limit ?
What is the correct procedure to solve this limit ?
LRU
333
views
LRU
asked
Nov 5, 2021
Calculus
test-series
engineering-mathematics
calculus
limits
+
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4
votes
1
answer
39
GATE CSE 1995 | Question: 7(B)
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$
admin
1.5k
views
admin
asked
Apr 25, 2021
Calculus
gate1995
calculus
limits
numerical-answers
+
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1
votes
0
answers
40
TIFR CSE 2021 | Part A | Question: 8
Consider the sequence $y_{n}=\frac{1}{\int_{1}^{n}\frac{1}{\left ( 1+x/n \right )^{3}}dx}$ for $\text{n} = 2,3,4, \dots$ Which of the following is $\text{TRUE}$? The sequence $\{y_{n}\}$ does not have a limit as $n\rightarrow \infty$ ... and is equal to $0$. The sequence $\{y_{n}\}$ first increases and then decreases as $\text{n}$ takes values $2, 3, 4, \dots$
Consider the sequence$$y_{n}=\frac{1}{\int_{1}^{n}\frac{1}{\left ( 1+x/n \right )^{3}}dx}$$for $\text{n} = 2,3,4, \dots$ Which of the following is $\text{TRUE}$?The seque...
soujanyareddy13
373
views
soujanyareddy13
asked
Mar 25, 2021
Calculus
tifr2021
calculus
limits
+
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4
votes
2
answers
41
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 ___________.
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
6.4k
views
Arjun
asked
Feb 18, 2021
Calculus
gatecse-2021-set1
calculus
limits
numerical-answers
1-mark
+
–
0
votes
0
answers
42
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 $1$ $0$ $+\infty$ $1/2$
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$$1/2$
soujanyareddy13
666
views
soujanyareddy13
asked
Aug 29, 2020
Calculus
tifrmaths2019
limits
+
–
2
votes
1
answer
43
NIELIT 2016 MAR Scientist C - Section B: 10
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$ $(0.5)$ $\infty$ None of the above
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$$(0.5)$$\infty$None of the above
admin
451
views
admin
asked
Apr 2, 2020
Calculus
nielit2016mar-scientistc
engineering-mathematics
calculus
limits
+
–
1
votes
2
answers
44
NIELIT 2016 MAR Scientist B - Section B: 13
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to $0$ $1$ $1/3$ $1/2$
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to$0$$1$$1/3$$1/2$
admin
614
views
admin
asked
Mar 31, 2020
Calculus
nielit2016mar-scientistb
engineering-mathematics
calculus
limits
+
–
3
votes
1
answer
45
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 $0$
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...
Arjun
833
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
limits
+
–
4
votes
4
answers
46
ISI2014-DCG-3
$\underset{x \to \infty}{\lim} \left( \frac{3x-1}{3x+1} \right) ^{4x}$ equals $1$ $0$ $e^{-8/3}$ $e^{4/9}$
$\underset{x \to \infty}{\lim} \left( \frac{3x-1}{3x+1} \right) ^{4x}$ equals$1$$0$$e^{-8/3}$$e^{4/9}$
Arjun
1.6k
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
limits
+
–
3
votes
4
answers
47
ISI2014-DCG-4
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to $\infty$ $0$ $\log_e 2$ $1$
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to$\infty$$0$$\log_e 2$$1$
Arjun
1.2k
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
limits
+
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