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 43 What is the limit of $x/(x+\sin x)$ as $x$ approaches infinity? 28 Integration of $\sqrt{x+\sqrt{x^2+3x}}$ 26 Any neat proof that $0$ is the unique solution of the equation $4^x+9^x+25^x=6^x+10^x+15^x$? 25 Integrating $\int \sqrt{x+\sqrt{x^2+1}}\,\mathrm{d}x$ 23 Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$

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 +10 Derivative and second derivative +10 Range of function $f(x)=x \sqrt{1-x^2}$ +10 Arithmetic Progression. Find 1st term and common difference +10 Why can we use mathematical induction to prove that $2^n \ge n^2$ for $n \ge 5$

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