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Recent questions tagged limits
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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: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \] ... Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
asked
in
Calculus
Feb 17
by
Arjun
737
views
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
1
vote
2
answers
2
Memory Based GATE DA 2024 | Question: 3
Evaluate the limit: \[ \lim_{{x \to 0}} \frac{\ln \left(\left(x^2+1\right) \cos x\right)}{x^2} \]
GO Classes
asked
in
Calculus
Feb 5
by
GO Classes
424
views
gate2024-da-memory-based
goclasses
calculus
limits
numerical-answers
0
votes
1
answer
3
Thomas Calculus.
Consider the following statements, Statement 1:- $\lim_{x\to c}f(x) = L$ if and only if $\lim_{h \to 0 }f(h-c) = L$. Statement 2:- $\lim_{x\to c}f(x) = L$ if and only if $\lim_{h \to 0 }f(h+c) = L$ ... Statement 2 and Statement 4 are True. B. Statement 1 and Statement 3 are false. C. Statement 2 and Statement 3 are True. D. Statement 1 and Statement 4 are False.
Lakshmi Narayana404
asked
in
Calculus
Jan 11
by
Lakshmi Narayana404
165
views
calculus
limits
0
votes
0
answers
4
Thomas Calculus
Prove that $\lim_{x->5} \frac{1}{x-3} = \frac{1}{2}$, using Epsilon Delta Definition.
Lakshmi Narayana404
asked
in
Calculus
Jan 10
by
Lakshmi Narayana404
52
views
limits
calculus
1
vote
2
answers
5
Evaluate the limit without using L' Hospital Rule.
Debargha Mitra Roy
asked
in
Calculus
Nov 26, 2023
by
Debargha Mitra Roy
233
views
limits
calculus
0
votes
1
answer
6
Limit
Debargha Mitra Roy
asked
in
Calculus
Nov 26, 2023
by
Debargha Mitra Roy
128
views
limits
calculus
0
votes
1
answer
7
calculus
How do we solve this question: $\lim n \to \infty \sqrt{n^2 + n} - {\sqrt{n^2 +1}}$
practicalmetal
asked
in
Mathematical Logic
Nov 26, 2023
by
practicalmetal
232
views
calculus
limits
1
vote
1
answer
8
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 5
$\lim _{x \rightarrow 2} \frac{\sqrt{x}-\sqrt{2}}{x-2}$ $0$ $\sqrt{2}$ $\frac{1}{2 \sqrt{2}}$ $\frac{1}{\sqrt{2}}$
admin
asked
in
Calculus
Oct 22, 2023
by
admin
766
views
gateda-sample-paper-2024
limits
0
votes
0
answers
9
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.
Hailemariam
asked
in
Others
Jun 2, 2023
by
Hailemariam
296
views
limits
integration
0
votes
0
answers
10
LIMIT AND CONTINUITY integration
Depramine the area of region bounded by $y=2x^{2}+10$ and $y=4x+16$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
75
views
integration
limits
0
votes
0
answers
11
LIMIT AND CONTINUITY
Differentiate each of the following. $g(x)=\int ^{x}_{-4}e^{2t}cos^{2}(1-5t)dt$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
107
views
limits
integration
0
votes
1
answer
12
LIMIT AND CONTINUITY
1.Evaluate the following definite integral $\int^{130}_{130}\frac{x^{3}-x\sin(x)+\cos(x)}{x^{^{2}}+1}dx$
Hailemariam
asked
in
Others
Jun 1, 2023
by
Hailemariam
267
views
limits
continuity
integration
0
votes
0
answers
13
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]$
Hailemariam
asked
in
Mathematical Logic
Apr 28, 2023
by
Hailemariam
205
views
limits
0
votes
0
answers
14
Applied Mathematics-IB
sketch the graph of $h(x)=-(x+4)^{3}$ and identify all the relative extrema and absolute extrema of the function.
Hailemariam
asked
in
Mathematical Logic
Apr 28, 2023
by
Hailemariam
137
views
limits
0
votes
1
answer
15
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}).$
Hailemariam
asked
in
Mathematical Logic
Apr 28, 2023
by
Hailemariam
176
views
limits
0
votes
1
answer
16
Applied Mathematics-IB
Given that $7x\leq f\left ( x \right )\leq 3x^{2}+2$ for all determine the value of $\lim x\rightarrow 0 f(x)$
Hailemariam
asked
in
Mathematical Logic
Apr 28, 2023
by
Hailemariam
181
views
limits
3
votes
1
answer
17
#Made Easy
Find the value of $\lim_{x \rightarrow 0 } \dfrac{x \tan2x - 2x\tan x}{(1-\cos 2x)^2} \rule{1 in}{.5 pt}.$
Dknights
asked
in
Calculus
Jan 31, 2023
by
Dknights
490
views
calculus
limits
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