Write the power series expansion for $x+1$ in summation notation.
2026-04-08 19:37:35.1775677055
power series expansion for x+1?
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There's no need for summation notation; $1 + x$ is already a power series, with every term of order $2$ or higher having the coefficient $0$. You could, if you really wanted to, write it like so $$\sum_{n=0}^\infty a_n x^n$$ where $$a_n = \begin{cases} 1 & \text{if } n \le 1 \\ 0 & \text{if } n > 1. \end{cases}$$