009C Sample Final 1, Problem 2

Find the sum of the following series:

(a)   $\sum _{n=0}^{\infty }(-2)^{n}e^{-n}$

(b)   Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{n=1}^{\infty} \bigg(\frac{1}{2^n}-\frac{1}{2^{n+1}}\bigg)}

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