Question

Evaluate $\lim_{n \to \infty} ((15)^n +([(1+0.0001)^{10000}])^n)^{\frac{1}{n}}$

score 546 · Answer 1 · 2026-04-15 18:37:09

546

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Evaluate $\lim_{n \to \infty} ((15)^n +([(1+0.0001)^{10000}])^n)^{\frac{1}{n}}$

Published on 15 Apr 2026 - 18:37

score 58 · Answer 2 · 2026-04-09 09:06:33

58

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Computing limits of integrals of continuous periodic function

Published on 09 Apr 2026 - 9:06

score 634 · Answer 3 · 2026-05-15 03:07:29

634

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Counterexample: Interchange Limit and Integral

Published on 15 May 2026 - 3:07

score 809 · Answer 4 · 2026-04-16 01:18:59

809

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Asymptotic behavior of combinations: approximating Hypergeometric by Binomial

Published on 16 Apr 2026 - 1:18

score 69 · Answer 5 · 2026-04-14 14:56:25

69

Views

What should I use to find the convergence of the series $n\arctan\frac{1}{n^3}$?

Published on 14 Apr 2026 - 14:56

score 529 · Answer 6 · 2026-05-10 16:55:33

529

Views

Dirac delta from poles of a function

Published on 10 May 2026 - 16:55

score 125 · Answer 7 · 2026-04-12 09:21:22

125

Views

Limit of sequence using Euler's sequence

Published on 12 Apr 2026 - 9:21

score 419 · Answer 8 · 2026-05-10 20:54:04

419

Views

Prob. 12, Sec. 5.2, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: Continuity of additive functions

Published on 10 May 2026 - 20:54

score 499 · Answer 9 · 2026-04-12 10:29:13

499

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Doubts regarding $\epsilon$-$\delta$ definition of limits

Published on 12 Apr 2026 - 10:29

score 404 · Answer 10 · 2026-05-10 23:34:38

404

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Surface integral enclosing all of space? Improper surface integral convergence?

Published on 10 May 2026 - 23:34

score 566 · Answer 11 · 2026-05-10 17:01:41

566

Views

For what values of $a$ and $b$ does $\lim_{x\rightarrow \infty}(\sqrt{x^2+x+1}-ax-b)=1$?

Published on 10 May 2026 - 17:01

score 53 · Answer 12 · 2026-04-13 03:36:44

53

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Limit of double variable

Published on 13 Apr 2026 - 3:36

score 63 · Answer 13 · 2026-05-11 05:10:04

63

Views

Pole in limit expression

Published on 11 May 2026 - 5:10

score 150 · Answer 14 · 2026-04-17 00:18:44

150

Views

Limit of $n \left(\frac{1}{2}-e^{-n}\left(1+n+\frac{n^2}{2!}+...+\frac{n^n}{n!}\right)\right)$

Published on 17 Apr 2026 - 0:18

score 408 · Answer 15 · 2026-04-13 08:28:21

408

Views

What is the right definition of the limit of a function?

Published on 13 Apr 2026 - 8:28

List Question

Evaluate $\lim_{n \to \infty} ((15)^n +([(1+0.0001)^{10000}])^n)^{\frac{1}{n}}$

Computing limits of integrals of continuous periodic function

Counterexample: Interchange Limit and Integral

Asymptotic behavior of combinations: approximating Hypergeometric by Binomial

What should I use to find the convergence of the series $n\arctan\frac{1}{n^3}$?

Dirac delta from poles of a function

Limit of sequence using Euler's sequence

Prob. 12, Sec. 5.2, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: Continuity of additive functions

Doubts regarding $\epsilon$-$\delta$ definition of limits

Surface integral enclosing all of space? Improper surface integral convergence?

For what values of $a$ and $b$ does $\lim_{x\rightarrow \infty}(\sqrt{x^2+x+1}-ax-b)=1$?

Limit of double variable

Pole in limit expression

Limit of $n \left(\frac{1}{2}-e^{-n}\left(1+n+\frac{n^2}{2!}+...+\frac{n^n}{n!}\right)\right)$

What is the right definition of the limit of a function?

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