asimath
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### Questions (17)

 12 How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$ 5 Find the value of the function at the given point. 3 Evaluate $\lim_{n\to\infty}n\sin(2\pi \mathrm en!)$ [duplicate] 3 find the series $\frac{z}{\mathrm{e}^z-1}$ 3 Evaluate the limit $\lim_{n\to\infty}\left[n+{n^2}\log{\frac{n}{n+1}}\right]$

### Reputation (424)

 +30 subideals of an ideal +5 check the convergence of the improper integral$\int_{0}^{1}\frac{x^{p-1}+x^{-p}}{1+x}\,dx$ +5 How to evaluate the series $1+\frac34+\frac{3\cdot5}{4\cdot8}+\frac{3\cdot5\cdot7}{4\cdot8\cdot12}+\cdots$ +5 Is the series $\sum_{n=1}^{\infty}\frac{(1+\frac{n}{\mathrm{e}})^n}{n\mathrm{!}}$ convergent?

 5 subideals of an ideal 1 Modular arithmetic: confusion one the $mod$ operator. 0 Is the series $\sum_{n=1}^{\infty}\frac{(1+\frac{n}{\mathrm{e}})^n}{n\mathrm{!}}$ convergent?

### Tags (14)

 5 ring-theory 0 convergence × 2 1 modular-arithmetic 0 derivatives × 2 0 real-analysis × 14 0 improper-integrals × 2 0 sequences-and-series × 9 0 limits × 2 0 analysis × 2 0 linear-algebra

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