I'm just trying to be sure I understand power series correctly. Would the series $\sum \frac{(x-3)^n}{n}$ be seen as a power series if we consider $\frac 1n$ as $c_n$, seeing as (taking $a$ here to be zero) the formula for a term of a power series is $c_n(x-a)^n$?
2026-04-02 12:30:46.1775133046
Could the series $\sum (x-3)^n/n$ be seen as a power series if we consider $1/n$ as $c_n$?
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Yes you can consider it that way, and in fract it is related to the Taylor series for $$ \log\left( \frac{1}{4-x}\right) $$