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Q. 3

Expert-verifiedFound in: Page 669

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

What is a power series in *x*?

A power series in *x* is $\sum _{k=0}^{\infty}{a}_{k}{x}^{k}$.

Consider the given question,

*x*

If $\sum _{k=0}^{\infty}{a}_{k}$ is a sequence of real numbers and *x* is a variable.

Then a power series in *x* is a series of the form $\sum _{k=0}^{\infty}{a}_{k}{x}^{k}$.

Rewriting the series,

$\sum _{k=0}^{\infty}{a}_{k}{x}^{k}={a}_{0}+{a}_{1}x+{a}_{2}{x}^{2}+...$

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