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updates | April 12, 2026

What is the center of power series?

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The power series is: $$ \sum\limits_{n=1}^{\infty}\frac{(x+4)^n}{n+1} $$

Any help appreciated!

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1 Answer

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From Calculus: 8th Edition by Larson:

[A]n infinite series of the form

$$ \sum_{n = 0}^\infty a_n(x-c)^n$$

is called a power series centered at c, where c is a constant.

So here $c = -4$.

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