Question

Limits with definite integration

score 71 · Answer 1 · 2026-04-10 00:43:38

71

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Limits with definite integration

Published on 10 Apr 2026 - 0:43

score 699 · Answer 2 · 2026-05-06 05:12:38

699

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show $\lim\limits_{(x,y)\to(0,0)}\frac{|x|^a|y|^b}{|x|^c+|y|^d}$ exists and equals $0$?

Published on 06 May 2026 - 5:12

score 121 · Answer 3 · 2026-04-09 08:02:35

121

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Finding a limit inside a limit 2

Published on 09 Apr 2026 - 8:02

score 199 · Answer 4 · 2026-04-16 04:48:44

199

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For $x>0$ find $\sum_{k=0}^\infty\frac{x^ke^{-x}}{k!}$

Published on 16 Apr 2026 - 4:48

score 54 · Answer 5 · 2026-05-15 13:23:53

54

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In a function such that $f(x)=\frac{1}{x^2}$ would the limit as $x$ approaches zero be infinity or would it not exist?

Published on 15 May 2026 - 13:23

score 113 · Answer 6 · 2026-04-15 18:17:14

113

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What is the value of: lim as x appraches -2 from the right of (g(x) + 3g(-x))?

Published on 15 Apr 2026 - 18:17

score 117 · Answer 7 · 2026-04-14 03:11:26

117

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Limit as n approaches $\infty$ of $\frac{x}{x+n}$.

Published on 14 Apr 2026 - 3:11

score 1k · Answer 8 · 2026-04-24 03:54:28

1k

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If a sequence of rational numbers converges to an irrational number, the sequence of their denominators is unbounded

Published on 24 Apr 2026 - 3:54

score 1.1k · Answer 9 · 2026-04-15 13:46:14

1.1k

Views

Prove that $f(x)=\sqrt{x}$ is Riemann integrable over $[0,1]$

Published on 15 Apr 2026 - 13:46

score 57 · Answer 10 · 2026-04-14 08:15:24

57

Views

Reasoning out the existence of a limit of a piecewise-defined function in order to prove discontinuity

Published on 14 Apr 2026 - 8:15

score 113 · Answer 11 · 2026-04-15 11:57:41

113

Views

Ways to arrange a consecutive string of letters with no letter in the alphabetically correct place

Published on 15 Apr 2026 - 11:57

score 79 · Answer 12 · 2026-04-10 17:12:17

79

Views

Technical details of using series expansions to compute limits

Published on 10 Apr 2026 - 17:12

score 102 · Answer 13 · 2026-04-11 15:52:02

102

Views

The limit as a function on functions?

Published on 11 Apr 2026 - 15:52

score 529 · Answer 14 · 2026-05-10 13:51:07

Compute $\lim\limits_{n\to\infty}(x_{n+1}-x_n)$ if $x_n =\sum\limits_{k=1}^{n-1}f(\frac kn)$ and $f$ continuous (but not continuously differentiable)

score 325 · Answer 15 · 2026-04-15 19:30:14

325

Views

How limit $\lim_{n \to \infty} \frac{ \log^bn }{n^a} = 0$

Published on 15 Apr 2026 - 19:30

List Question

Limits with definite integration

show $\lim\limits_{(x,y)\to(0,0)}\frac{|x|^a|y|^b}{|x|^c+|y|^d}$ exists and equals $0$?

Finding a limit inside a limit 2

For $x>0$ find $\sum_{k=0}^\infty\frac{x^ke^{-x}}{k!}$

In a function such that $f(x)=\frac{1}{x^2}$ would the limit as $x$ approaches zero be infinity or would it not exist?

What is the value of: lim as x appraches -2 from the right of (g(x) + 3g(-x))?

Limit as n approaches $\infty$ of $\frac{x}{x+n}$.

If a sequence of rational numbers converges to an irrational number, the sequence of their denominators is unbounded

Prove that $f(x)=\sqrt{x}$ is Riemann integrable over $[0,1]$

Reasoning out the existence of a limit of a piecewise-defined function in order to prove discontinuity

Ways to arrange a consecutive string of letters with no letter in the alphabetically correct place

Technical details of using series expansions to compute limits

The limit as a function on functions?

Compute $\lim\limits_{n\to\infty}(x_{n+1}-x_n)$ if $x_n =\sum\limits_{k=1}^{n-1}f(\frac kn)$ and $f$ continuous (but not continuously differentiable)

How limit $\lim_{n \to \infty} \frac{ \log^bn }{n^a} = 0$

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