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 38 What is the limit of $x/(x+\sin x)$ as $x$ approaches infinity? 27 Integration of $\sqrt{x+\sqrt{x^2+3x}}$ 22 Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$ 22 Any neat proof that $0$ is the unique solution of the equation $4^x+9^x+25^x=6^x+10^x+15^x$? 22 Integrating $\int \sqrt{x+\sqrt{x^2+1}}\,\mathrm{d}x$

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 +20 Simplifying $\sin^2 (\alpha) \cos^2 (\alpha)$ +20 Question from Triangles (Geometry) including angle bisector +20 Determine this limit $\lim_{n\to\infty} \frac{\ln\left(\frac{3\pi}{4} + 2n\right)-\ln\left(\frac{\pi}{4}+2n\right)}{\ln(2n+2)-\ln(2n)}.$ +10 Prove by mathematical induction that $\sum_{i=0}^n (2i-1)^2 = \frac{n(2n+1)(2n-1)}{3}$

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