How to find the function given the power series?
$$\sum_{n=0}^\infty \frac{(-1)^n}{2^{(n+1)}}(x-2)^n$$
2026-04-26 07:45:56.1777189556
Find function given power series
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Write as $$ \frac{1}{2}\sum_{n=0}^\infty \left(\frac{2-x}{2}\right)^n $$ and use the formula for a geometric series.