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 Feb10 asked Sequence $a_{n+1}=\sqrt{1+\frac{1}{2}a_n^2}$ Feb5 asked Calculate this limit $\lim_{n\to \infty } \, \frac{(-1)^n \left(n^2 \sin (n)+2 n\right)}{{n^2}+3}$ Feb5 asked Integral $\int{\frac{x^5}{\sqrt{x^2+7}}}dx$ Feb4 asked Integal $\int\left(\sqrt{4-9x^2}\right)^3 dx$ Feb3 answered Evaluate $(1-\frac1{2^2})(1-\frac1{3^2})\ldots(1-\frac1{2015^2})$ Feb3 asked Integral proof $I_n=\int\frac{x^n}{\sqrt{x^2+5}} \, dx$ Feb3 asked Taylor Series $(x+2)/(2-3x)$ at $x=2$ Feb3 asked Taylor series $\ln(x+3)$ at $x=1$ Feb1 asked Find monotony of $f(x)=x^5 +x^4 -11x^3 + 9x^2$ Jan27 asked Root with bolzano theorem Jan27 asked Limit find $f(x)$ $\lim_{x\to1}\frac{f(x)\cos{\frac{\pi x}{2}}}{\sqrt[3]x-1}=3$ Jan26 asked Limit evaluation $\lim_{x\to2}\frac{\sqrt{12-x^3}-\sqrt[3]{x^2+4}}{x^2-4}$ Jan25 asked Limit $\lim \limits_{x\to0}{\frac{\ln(x+1)}{2^x-1}}$ wihout LHospital Jan23 asked Convergence of $\sum_{n=1}^\infty{\frac{\ln({3n^2 +4n+5})}{n^{4/3}}}$ Jan23 asked Series proof $\sum_1^\infty|a_n|<\infty$ then show that $\sum_1^\infty{a_n^2}<\infty$ Jan22 asked $\sum_1^\infty{\frac{(-1)^n}{\ln{(2\cosh{n})}}}$ convergence Jan22 asked Test convergence of $\sum_{n=2}^\infty{(\ln{n})^{-n}}$ Jan21 asked $\sum_1^{\infty}\frac{\ln(n)}{n^{5/2}}$ and Cauchy condesation test Jan21 asked Series convergence: $\sum_{n=1}^\infty\frac{\sin{\frac{n\pi}{2}}}{n^{2/3}}$ Jan19 asked A calculus proof for the general term of the Fibonacci sequence