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Recent questions tagged limits
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GATE Mechanical 2021 Set 1 | Question: 2
The value of $\displaystyle{} \lim_{x \rightarrow 0} \left( \frac{1 – \cos x}{x^{2}}\right)$ is $\frac{1}{4}$ $\frac{1}{3}$ $\frac{1}{2}$ $1$
gatecse
asked
in
Calculus
Feb 22, 2021
by
gatecse
1.6k
points
gateme-2021-set1
calculus
limits
0
answers
0
votes
GATE2020-ME-1: 2
The value of $\displaystyle{}\lim_{x \to \infty}\left ( \dfrac{1 -e^{-c\left ( 1-x \right )}}{1-x\:e^{-c\left ( 1-x \right )}} \right )$ is $\text{c} \\$ $\text{c + 1} \\$ $\dfrac{c}{c+1} \\$ $\dfrac{c+1}{c}$
go_editor
asked
in
Calculus
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
calculus
limits
0
answers
0
votes
GATE ME 2012 | Question: 12
$\underset{x \rightarrow 0}{\lim} \bigg( \dfrac{1- \cos x}{x^2} \bigg)$ is $1/4$ $1/2$ $1$ $2$
Andrijana3306
asked
in
Calculus
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
calculus
limits
0
answers
0
votes
GATE2017 ME-1: 2
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is $0$ $3$ $1$ $-1$
Arjun
asked
in
Calculus
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
calculus
limits
0
answers
0
votes
GATE2016-3-28
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is $0$ $\infty$ $1/2$ $-\infty$
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
calculus
limits
0
answers
0
votes
GATE2016-3-2
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to $0 \\$ $\dfrac{1}{12} \\$ $\dfrac{4}{3} \\$ $1$
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
calculus
limits
0
answers
0
votes
GATE2016-1-25
Match the following: ... $P-III, Q-II, R-I, S-IV$ $P-IV, Q-II, R-I, S-III$ $P-IV, Q-I, R-II, S-III$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
limits
0
answers
0
votes
GATE2015-3-16
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
numerical-answers
calculus
limits
0
answers
0
votes
GATE2015-1-30
In the assembly shown below, the part dimensions are: $L_1 = 22.0^{\pm 0.01} \: mm$, $L_2 = L_3$ = $10.0^{\pm 0.005} \: mm$. Assuming the normal distribution of part dimensions, the dimension $L_4$ in $mm$ for assembly condition would be: $2 .0^{\pm 0.008}$ $2 .0^{\pm 0.012}$ $2 .0^{\pm 0.016}$ $2 .0^{\pm 0.020}$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
limits
0
answers
0
votes
GATE2015-1-22
Holes of diameter $25.0^{{+0.020} \\ {+0.040}}$ $mm$ are assembled interchangeably with the pins of diameter $25.0^{{+0.008}\\{+0.005}}$ $mm$. The minimum clearance in the assembly will be $0.048$ $mm$ $0.015$ $mm$ $0.005$ $mm$ $0.008$ $mm$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
limits
0
answers
0
votes
GATE2015-1-4
The value of $\displaystyle{} \lim_{x\rightarrow 0}\dfrac{1- \cos(x^2)}{2x^4}$ is $0 \\$ $\dfrac{1}{2} \\$ $\dfrac{1}{4} \\$ undefined
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
calculus
limits
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 2
If a function is continuous at a point, the limit of the function may not exist at the point the function must be derivable at the point the limit of the function at the point tends to infinity the limit must exist at the point and the value of limit should be same as the value of the function at that point
Arjun
asked
in
Calculus
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
calculus
limits
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 2
$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to $0$ $0.5$ $1$ $2$
Arjun
asked
in
Calculus
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
calculus
limits
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 2
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is $0$ $1$ $3$ not defined
Arjun
asked
in
Calculus
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set1
calculus
limits
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