Q. 3 - Calculus

Question

What is a power series in x?

Step-by-Step Solution

Answer

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

Step 1. Given information.

Consider the given question,

x

Step 2. Determine a power series in 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,

$\sum _{k=0}^{\infty }{a}_k x^k=a_0+a_{1}x+a_2{x}^2+...$