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Feb
5
accepted Calculate this limit $\lim_{n\to \infty } \, \frac{(-1)^n \left(n^2 \sin (n)+2 n\right)}{{n^2}+3}$
Feb
4
accepted Evaluating $\int{\frac{1}{\sqrt{x^2-1}(x^2+1)}dx}$
Feb
3
accepted Evaluate $\int\sqrt[5]{\frac{x+5}{x-5}}\,\mathrm dx$
Jan
27
accepted Limit find $f(x)$ $ \lim_{x\to1}\frac{f(x)\cos{\frac{\pi x}{2}}}{\sqrt[3]x-1}=3 $
Jan
27
accepted Series proof $\sum_1^\infty|a_n|<\infty$ then show that $\sum_1^\infty{a_n^2}<\infty$
Jan
26
accepted Limit evaluation $\lim_{x\to2}\frac{\sqrt{12-x^3}-\sqrt[3]{x^2+4}}{x^2-4}$
Jan
23
accepted Convergence of $\sum_{n=1}^\infty{\frac{\ln({3n^2 +4n+5})}{n^{4/3}}}$
Jan
23
accepted $\sum_1^\infty{\frac{(-1)^n}{\ln{(2\cosh{n})}}}$ convergence
Jan
21
accepted Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$
Jan
16
accepted Limit of this recursive sequence and convergence
Jan
16
accepted Sequence limit and monotony of $a_{n+1}=\sqrt{4a_n+3},a_1=5$
Jan
15
accepted Proof definite integral $\int_α^{π/2-α}f(\tan{x})dx=\frac{\pi}{2}-α $
Dec
14
accepted Area within $x=0$ $y=x$ and $e^{-x}$
Dec
14
accepted $y=e^{-x}$ and $y=x$ point of intersection
Dec
8
accepted How to show this $\lim_{n\rightarrow\infty} {\sqrt[n]{1+n^2}} =1$
Dec
8
accepted Series convergence of $\sum_1^\infty\frac{(n!)^2+(2n)^n}{n^{2n}}$
Dec
1
accepted Roots of $x^4 -6x^3 +x^2+10x +1=0$
Nov
28
accepted Point of inflection and third derivative
Nov
10
accepted $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
Nov
10
accepted Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$