List questions from limits

Published on 12 Apr 2026 - 23:13

50

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Find the limit of $a_n=\frac{\sqrt[n]{n^n +cn}}{cn+c/(n+1)}$ with $c>0$.

Published on 04 May 2026 - 17:22

538

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Need to find $\lim_{x\to 0}\frac{\sinh x - \sin x}{x\sin^2 x}$.

Published on 16 Apr 2026 - 0:10

830

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Multivariable Limits Using Substitution

Published on 25 Apr 2026 - 10:04

169

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Set the monotone interval of function $f(x)=x+\sqrt{x^2+2x}$

Published on 16 Apr 2026 - 15:29

3.1k

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Is there another proof for Euler–Mascheroni Constant?

Published on 25 Mar 2026 - 1:15

69

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Show that $\sum_{k=1}^{n/2} \binom{n}{k}\alpha^{k(n-k)} \rightarrow 0$ for $\alpha <1$

Published on 16 Apr 2026 - 2:13

248

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Evaluate $\lim\limits_{n\to+\infty}\int_{0}^{1}\ln(1-x^2+2x^{n}+x^{2n}){\rm d}x$.

Published on 18 Apr 2026 - 7:48

64

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Is zero absolute limit equivalent to zero limit?

Published on 13 Apr 2026 - 17:32

39

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Step in conservation of inequalities and limits

Published on 13 Apr 2026 - 1:51

100

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Evaluate limit approaching (a,b) using polar coordinates

Published on 17 Apr 2026 - 9:50

78

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Having problems with the actual proof step of epsilon-N sequence convergence proofs

Published on 17 Apr 2026 - 9:13

106

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Compute limit of double exponent expression.

Published on 11 Apr 2026 - 20:51

141

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Limit of a Function that is the Product of two Functions.

Published on 12 Apr 2026 - 12:53

312

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Limit $\lim_{x \to \infty}\left (1- \frac1x\right)^x = ?$

Published on 16 Apr 2026 - 13:36

List Question

Determinate the discontinuities of the function

Find the limit of $a_n=\frac{\sqrt[n]{n^n +cn}}{cn+c/(n+1)}$ with $c>0$.

Need to find $\lim_{x\to 0}\frac{\sinh x - \sin x}{x\sin^2 x}$.

Multivariable Limits Using Substitution

Set the monotone interval of function $f(x)=x+\sqrt{x^2+2x}$

Is there another proof for Euler–Mascheroni Constant?

Show that $\sum_{k=1}^{n/2} \binom{n}{k}\alpha^{k(n-k)} \rightarrow 0$ for $\alpha <1$

Evaluate $\lim\limits_{n\to+\infty}\int_{0}^{1}\ln(1-x^2+2x^{n}+x^{2n}){\rm d}x$.

Is zero absolute limit equivalent to zero limit?

Step in conservation of inequalities and limits

Evaluate limit approaching (a,b) using polar coordinates

Having problems with the actual proof step of epsilon-N sequence convergence proofs

Compute limit of double exponent expression.

Limit of a Function that is the Product of two Functions.

Limit $\lim_{x \to \infty}\left (1- \frac1x\right)^x = ?$

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