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Recent questions tagged limits
1
votes
1
answer
1
GATE DS&AI 2024 | Question: 50
Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Evaluate the following limit:\[\lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
762
views
Arjun
asked
Feb 16
Calculus
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
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–
1
votes
2
answers
2
Memory Based GATE DA 2024 | Question: 3
Evaluate the limit: \[ \lim_{{x \to 0}} \frac{\ln \left(\left(x^2+1\right) \cos x\right)}{x^2} \]
Evaluate the limit:\[\lim_{{x \to 0}} \frac{\ln \left(\left(x^2+1\right) \cos x\right)}{x^2}\]
GO Classes
443
views
GO Classes
asked
Feb 4
Calculus
gate2024-da-memory-based
goclasses
calculus
limits
numerical-answers
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–
1
votes
2
answers
3
Evaluate the limit without using L' Hospital Rule.
Debargha Mitra Roy
252
views
Debargha Mitra Roy
asked
Nov 26, 2023
Calculus
limits
calculus
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–
0
votes
1
answer
4
Limit
Debargha Mitra Roy
132
views
Debargha Mitra Roy
asked
Nov 26, 2023
Calculus
limits
calculus
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–
0
votes
1
answer
5
calculus
How do we solve this question: $\lim n \to \infty \sqrt{n^2 + n} - {\sqrt{n^2 +1}}$
How do we solve this question: $\lim n \to \infty \sqrt{n^2 + n} - {\sqrt{n^2 +1}}$
practicalmetal
243
views
practicalmetal
asked
Nov 26, 2023
Mathematical Logic
calculus
limits
+
–
1
votes
1
answer
6
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 5
$\lim _{x \rightarrow 2} \frac{\sqrt{x}-\sqrt{2}}{x-2}$ $0$ $\sqrt{2}$ $\frac{1}{2 \sqrt{2}}$ $\frac{1}{\sqrt{2}}$
$\lim _{x \rightarrow 2} \frac{\sqrt{x}-\sqrt{2}}{x-2}$$0$$\sqrt{2}$$\frac{1}{2 \sqrt{2}}$$\frac{1}{\sqrt{2}}$
admin
775
views
admin
asked
Oct 21, 2023
Calculus
gateda-sample-paper-2024
limits
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0
votes
0
answers
7
LIMIT AND CONTINUITY
Determine the volume of the solid obtained by rotating the portion of the region bounded by $y=\sqrt[3]{x}$ and $y=\frac{x}{4}$ that lies in the first quadrant about the y-axis.
Determine the volume of the solid obtained by rotating the portion of the region bounded by $y=\sqrt[3]{x}$ and $y=\frac{x}{4}$ that lies in the first quadrant about the ...
Hailemariam
308
views
Hailemariam
asked
Jun 2, 2023
Others
limits
integration
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0
votes
0
answers
8
LIMIT AND CONTINUITY integration
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Hailemariam
77
views
Hailemariam
asked
Jun 1, 2023
Others
integration
limits
+
–
0
votes
0
answers
9
LIMIT AND CONTINUITY
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Hailemariam
110
views
Hailemariam
asked
Jun 1, 2023
Others
limits
integration
+
–
0
votes
1
answer
10
LIMIT AND CONTINUITY
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
Hailemariam
275
views
Hailemariam
asked
Jun 1, 2023
Others
limits
continuity
integration
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–
0
votes
0
answers
11
Applied Mathematics-IB
Determine all the number(s) c which satisfy the conclusion of Roles' Theorem for the given function and interval $f(x)=x^{2}-2x-8 $ on $ [-1,3]$
Determine all the number(s) c which satisfy the conclusion of Roles' Theorem for the given function and interval $f(x)=x^{2}-2x-8 $ on $ [-1,3]$
Hailemariam
207
views
Hailemariam
asked
Apr 28, 2023
Mathematical Logic
limits
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–
0
votes
0
answers
12
Applied Mathematics-IB
sketch the graph of $h(x)=-(x+4)^{3}$ and identify all the relative extrema and absolute extrema of the function.
sketch the graph of $h(x)=-(x+4)^{3}$ and identify all the relative extrema and absolute extrema of the function.
Hailemariam
140
views
Hailemariam
asked
Apr 28, 2023
Mathematical Logic
limits
+
–
0
votes
1
answer
13
Applied Mathematics-IB
Use the Squeeze Theorem to determine the value of $\lim_{x\rightarrow 0} x^{4}\sin (\frac{\pi}{x}).$x^{4}\sin (\frac{\pi}{x}).$
Use the Squeeze Theorem to determine the value of $\lim_{x\rightarrow 0} x^{4}\sin (\frac{\pi}{x}).$$x^{4}\sin (\frac{\pi}{x}).$
Hailemariam
181
views
Hailemariam
asked
Apr 28, 2023
Mathematical Logic
limits
+
–
0
votes
1
answer
14
Applied Mathematics-IB
Given that $7x\leq f\left ( x \right )\leq 3x^{2}+2$ for all determine the value of $\lim x\rightarrow 0 f(x)$
Given that $7x\leq f\left ( x \right )\leq 3x^{2}+2$ for all determine the value of $\lim x\rightarrow 0 f(x)$
Hailemariam
185
views
Hailemariam
asked
Apr 28, 2023
Mathematical Logic
limits
+
–
3
votes
1
answer
15
#Made Easy
Find the value of $\lim_{x \rightarrow 0 } \dfrac{x \tan2x - 2x\tan x}{(1-\cos 2x)^2} \rule{1 in}{.5 pt}.$
Find the value of $\lim_{x \rightarrow 0 } \dfrac{x \tan2x - 2x\tan x}{(1-\cos 2x)^2} \rule{1 in}{.5 pt}.$
Dknights
496
views
Dknights
asked
Jan 31, 2023
Calculus
calculus
limits
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–
0
votes
2
answers
16
limits
the value of $lim_{x-> 0}(1-sinx.cosx)^{cosec2x}$ is: A $e^{2}$ B $e^{-2}$ C$e^{1/2}$ D $e^{-1/2}$
the value of $lim_{x- 0}(1-sinx.cosx)^{cosec2x}$ is:A $e^{2}$B $e^{-2}$C$e^{1/2}$D $e^{-1/2}$
someshawasthi
378
views
someshawasthi
asked
Jan 16, 2023
Calculus
limits
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