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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 $\frac{1}{4}$ $\frac{1}{3}$ $\frac{1}{2}$ $1$
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}$$1$
gatecse
1.6k
points
gatecse
asked
Feb 22, 2021
Calculus
gateme-2021-set1
calculus
limits
+
–
0
answers
0
votes
GATE2020-ME-1: 2
The value of $\displaystyle{}\lim_{x \to \infty}\left ( \dfrac{1 -e^{-c\left ( 1-x \right )}}{1-x\:e^{-c\left ( 1-x \right )}} \right )$ is $\text{c} \\$ $\text{c + 1} \\$ $\dfrac{c}{c+1} \\$ $\dfrac{c+1}{c}$
The value of $\displaystyle{}\lim_{x \to \infty}\left ( \dfrac{1 -e^{-c\left ( 1-x \right )}}{1-x\:e^{-c\left ( 1-x \right )}} \right )$ is$\text{c} \\$$\text{c + 1} \\$$...
go_editor
5.0k
points
go_editor
asked
Feb 19, 2020
Calculus
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 $1/4$ $1/2$ $1$ $2$
$\underset{x \rightarrow 0}{\lim} \bigg( \dfrac{1- \cos x}{x^2} \bigg)$ is$1/4$$1/2$$1$$2$
Andrijana3306
1.5k
points
Andrijana3306
asked
Mar 19, 2018
Calculus
gateme-2012
calculus
limits
+
–
0
answers
0
votes
GATE2017 ME-1: 2
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is $0$ $3$ $1$ $-1$
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is$0$$3$$1$$-1$
Arjun
28.5k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set1
calculus
limits
+
–
0
answers
0
votes
GATE2016-3-28
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is $0$ $\infty$ $1/2$ $-\infty$
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is$0$$\infty$$1/2$$-\infty$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
limits
+
–
0
answers
0
votes
GATE2016-3-2
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to $0 \\$ $\dfrac{1}{12} \\$ $\dfrac{4}{3} \\$ $1$
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to$0 \\$$\dfrac{1}{12} \\$$\dfrac{4}{3} \\$$1$
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
limits
+
–
0
answers
0
votes
GATE2016-1-25
Match the following: ... $P-III, Q-II, R-I, S-IV$ $P-IV, Q-II, R-I, S-III$ $P-IV, Q-I, R-II, S-III$
Match the following:$\begin{array}{|l|l|l|l|} \hline P. & \text{Feeler guage} & I. & \text{Radius of an object} \\ \hline Q. & \text{Fillet guage} & II. & \text{Diameter ...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
gateme-2016-set1
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
limits
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–
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 ________
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
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: $2 .0^{\pm 0.008}$ $2 .0^{\pm 0.012}$ $2 .0^{\pm 0.016}$ $2 .0^{\pm 0.020}$
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 dimens...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
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 $0.048$ $mm$ $0.015$ $mm$ $0.005$ $mm$ $0.008$ $mm$
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 th...
Arjun
28.5k
points
Arjun
asked
Feb 24, 2017
Materials, Manufacturing and Industrial Engineering
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
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
28.5k
points
Arjun
asked
Feb 24, 2017
Calculus
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
If a function is continuous at a point,the limit of the function may not exist at the pointthe function must be derivable at the pointthe limit of the function at the poi...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Calculus
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 $0$ $0.5$ $1$ $2$
$ \displaystyle{}\lim_{x\rightarrow 0} \left( \dfrac{e^{2x}-1}{\sin(4x)} \right )$ is equal to$0$$0.5$$1$$2$
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set2
calculus
limits
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 2
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is $0$ $1$ $3$ not defined
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is$0$$1$$3$not defined
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set1
calculus
limits
+
–
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