I need to write the following power series as a function:
$2\sum_{n=0}^\infty (-1)^n x^{2n+1}$
I am not sure how to go about doing this.
2026-03-29 13:46:59.1774792019
Writing power series as function
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Hints
The sum can be written as $$ 2x\sum_{n=0}^\infty (-x^2)^{n} $$ and recall the formula for a geometric series.