Question

Solve: $\lim\limits_{y\mapsto 0} \frac{(x+y)\sec(x+y)-x\sec(x)}{y}$

score 97 · Answer 1 · 2026-04-16 21:17:19

97

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Solve: $\lim\limits_{y\mapsto 0} \frac{(x+y)\sec(x+y)-x\sec(x)}{y}$

Published on 16 Apr 2026 - 21:17

score 140 · Answer 2 · 2026-05-11 05:07:59

140

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Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums

Published on 11 May 2026 - 5:07

score 221 · Answer 3 · 2026-04-17 06:45:05

221

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Why is the graph of $y=(x^2+x-6)/(x-2)$ the same as the graph of $y=x+3$, and a continuous function?

Published on 17 Apr 2026 - 6:45

score 2.4k · Answer 4 · 2026-04-15 18:44:30

2.4k

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Solve: $\lim_{x\to -\infty} (\sqrt {4x^2+7x}+2x)$

Published on 15 Apr 2026 - 18:44

score 212 · Answer 5 · 2026-04-09 05:24:36

212

Views

Curious ODE with Dirac comb

Published on 09 Apr 2026 - 5:24

score 295 · Answer 6 · 2026-05-14 16:52:20

295

Views

How do limits work on solutions of differential equations?

Published on 14 May 2026 - 16:52

score 1.3k · Answer 7 · 2026-04-14 13:45:34

1.3k

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Proving by $\epsilon-\delta$ definition that $\lim_{(x,y) \to (0,0)} \frac{x}{y}$ does not exist.

Published on 14 Apr 2026 - 13:45

score 25 · Answer 8 · 2026-05-05 02:17:22

25

Views

How to efficiently determine the number of samples required for a given statistic?

Published on 05 May 2026 - 2:17

score 72 · Answer 9 · 2026-04-15 17:33:30

72

Views

Limit of a sequence using Squeezing Principle: $\sum_{k=1}^n \frac{n}{n^3+k} = \frac{n}{n^3+1}+...+\frac{n}{n^3+n}$.

Published on 15 Apr 2026 - 17:33

score 978 · Answer 10 · 2026-04-14 03:11:59

978

Views

Limit of $f(x)$ given that $ f(x)/x$ is known

Published on 14 Apr 2026 - 3:11

score 349 · Answer 11 · 2026-04-09 00:34:11

349

Views

Understanding The Squeeze Theorem

Published on 09 Apr 2026 - 0:34

score 63 · Answer 12 · 2026-04-09 10:33:44

63

Views

Calculus limit with sum of radicals

Published on 09 Apr 2026 - 10:33

score 273 · Answer 13 · 2026-04-10 10:38:35

273

Views

Limit of composite function where the outer function is not continuous

Published on 10 Apr 2026 - 10:38

score 55 · Answer 14 · 2026-04-15 22:39:01

55

Views

Under what conditions does $\lim_{x\to\infty} f(g(x))=f \left(\lim_{x\to\infty} g(x) \right)$?

Published on 15 Apr 2026 - 22:39

score 118 · Answer 15 · 2026-04-15 12:30:30

118

Views

Prove that $f(x)=\frac x{e^x-1}$ for $x\neq 0$, $f(0)=1$, is $C^\infty$

Published on 15 Apr 2026 - 12:30

List Question

Solve: $\lim\limits_{y\mapsto 0} \frac{(x+y)\sec(x+y)-x\sec(x)}{y}$

Calculate $\lim\limits_{n\to\infty}\sum\limits_{0\leqslant k\leqslant2n}\frac k{k+n^2}$ using Riemann sums

Why is the graph of $y=(x^2+x-6)/(x-2)$ the same as the graph of $y=x+3$, and a continuous function?

Solve: $\lim_{x\to -\infty} (\sqrt {4x^2+7x}+2x)$

Curious ODE with Dirac comb

How do limits work on solutions of differential equations?

Proving by $\epsilon-\delta$ definition that $\lim_{(x,y) \to (0,0)} \frac{x}{y}$ does not exist.

How to efficiently determine the number of samples required for a given statistic?

Limit of a sequence using Squeezing Principle: $\sum_{k=1}^n \frac{n}{n^3+k} = \frac{n}{n^3+1}+...+\frac{n}{n^3+n}$.

Limit of $f(x)$ given that $ f(x)/x$ is known

Understanding The Squeeze Theorem

Calculus limit with sum of radicals

Limit of composite function where the outer function is not continuous

Under what conditions does $\lim_{x\to\infty} f(g(x))=f \left(\lim_{x\to\infty} g(x) \right)$?

Prove that $f(x)=\frac x{e^x-1}$ for $x\neq 0$, $f(0)=1$, is $C^\infty$

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