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Recent questions tagged limits
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TIFRGS2021 Question
Consider the sequence $y_n = \frac{1}{\int_{1}^{n}\frac{1}{(1 + x/n)^3}dx}$ for $n = 2, 3, 4, ...$. Which of the following is TRUE? (A) The sequence $\{y_n\}$ does not have a limit as $n\rightarrow \infty$. (B) $y_n\leq 1$ ... $0$. (E) The sequence $\{y_n\}$ first increases and then decreases as $n$ takes values $2, 3, 4, ...$
asked
Mar 24
in
Calculus
by
zxy123
(
3.6k
points)

3
views
tifr2021
limits
0
votes
0
answers
GATE201539 Video Solution
The value of $\lim_{x \rightarrow \infty} (1+x^2)^{e^{x}}$ is $0$ $\frac{1}{2}$ $1$ $\infty$
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

7
views
gate20153
calculus
limits
normal
videosolution
0
votes
0
answers
GATE201436 Video Solution
If $\int \limits_0^{2 \pi} x \: \sin x dx=k\pi$, then the value of $k$ is equal to ______.
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

10
views
gate20143
calculus
integration
limits
numericalanswers
easy
videosolution
0
votes
0
answers
GATE20081 Video Solution
$\lim_{x \to \infty}\frac{x\sin x}{x+\cos x}$ equals $1$ $1$ $\infty$ $\infty$
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

10
views
gate2008
calculus
limits
easy
videosolution
0
votes
0
answers
GATE201613 Video Solution
$\lim _{x\rightarrow 4}\frac{\sin(x4)}{x4}$=____.
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

8
views
gate20161
calculus
limits
easy
numericalanswers
videosolution
0
votes
0
answers
GATE201514 Video Solution
$\lim_{x\rightarrow \infty } x^{ \tfrac{1}{x}}$ is $\infty $ 0 1 Not defined
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

7
views
gate20151
calculus
limits
normal
videosolution
0
votes
0
answers
GATE2017128 Video Solution
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
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

5
views
gate20171
calculus
limits
normal
videosolution
0
votes
0
answers
GATE2014347 Video Solution
The value of the integral given below is $\int \limits_0^{\pi} \: x^2 \: \cos x\:dx$ $2\pi$ $\pi$ $\pi$ $2\pi$
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

7
views
gate20143
calculus
limits
integration
normal
videosolution
0
votes
0
answers
GATE20105 Video Solution
What is the value of $\lim_{n \to \infty}\left(1  \frac{1}{n}\right)^{2n}$ ? 0 $e^{2}$ $e^{1/2}$ 1
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

6
views
gate2010
calculus
limits
normal
videosolution
0
votes
0
answers
GATE201913 Video Solution
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

8
views
gate2019
engineeringmathematics
calculus
limits
videosolution
0
votes
0
answers
GATE199302.1 Video Solution
In questions $2.1$ to $2.10$ below, each blank (___) is to be suitably filled in. $\lim_{x \to 0} \frac{x(e^x  1) + 2(\cos x 1)}{x(1  \cos x)}$ is_____________
asked
Apr 18, 2020
in
Calculus
by
admin
(
573
points)

6
views
gate1993
limits
calculus
normal
numericalanswers
videosolution
0
votes
0
answers
Math questions
$\lim_{x\rightarrow 0^{+}}0^{x}$ find value
asked
Nov 13, 2019
in
Calculus
by
amit166
(
87
points)

14
views
limits
0
votes
0
answers
TIFR question 2018
$f(x) =\ lim_{ x> \infty}\frac{ (xlogx+x)^5 (1+2/x)^x}{(x+1/x)^5(logx+1/logx)^6}$
asked
Oct 23, 2019
in
Calculus
by
Bharat patra
(
5
points)

21
views
calculus
limits
tifr2018
+1
vote
0
answers
Gate calculus linit
$\lim_{x> \infty } \left (\frac{x+a }{x+b} \right ) ^{(x+b)}$
asked
Sep 8, 2019
in
Calculus
by
krati litoriya
(
9
points)

74
views
calculus
limits
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