Submit the quiz and homework during the final exam

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**Problem 1**. Find the sum of the series
$\displaystyle{\sum_{n=2}^{\infty}{\frac{2}{n(n+2)}}}$

**Problem 2**. Find the radius of convergence and interval of convergence of the series
$\displaystyle{\sum_{n=1}^{\infty}{\frac{5^{n+1}{x^n}}{2n+1}}}$