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Amarildo

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Top posts (119) All Questions Answers | Votes Newest

9 How to evaluate $\lim _{x\to \infty }\left(\frac{x+3}{\sqrt{x^2-5x}}\right)^{x^2\sin\left(1/x\right)}$? Jan 16 '17
9 $\int \frac{\cos(x)}{(1+\cos(x))^3} \, dx$? Apr 30 '16
7 Binomial limit $\left(\binom{3n}{n}\binom{2n}{n}^{-1}\right)^{1/n}$ as $n\to \infty$ Apr 14 '17
6 How to calculate the indefinite integral of $\frac{1}{x^{2/3}(1+x^{2/3})}$? Jul 26 '18
6 explanation of a triple integral $\iiint _{x^2+y^2+z^2<R^2}\left|xz\right|y^2dxdydz\:$ Apr 12 '17
5 How to evaluate $\lim _{x\to \:0}\left(\frac{\cos \left(x\right)-1+\frac{x}{2}\sin \left(x\right)}{\ln ^4\left(1+x\right)}\right)$ Oct 18 '16
5 Proving $\lim\limits_{x\to0}\left(\frac{1}{\log(x+\sqrt{1+x^2})}-\frac{1}{\log(1+x)}\right) =-\frac12$ Feb 10 '17
5 limit of the form $\lim_{n\rightarrow \infty}\frac{3^{3n}\cdot \left(\binom{2n}{n}\right)^2}{\binom{3n}{n}\cdot \binom{6n}{3n}}$ Apr 3 '17
5 Evaluate $\int \sin(3x)\cos(4x) \,dx$ Apr 29 '16
4 Solve $\lim_{x \rightarrow 5} \frac{e^{x-5}-1}{x-\sqrt{4x+5}}$ without using L'Hopital's rule Feb 24 '17
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