Solution Found!
Functions to power series Find power series
Chapter 8, Problem 39E(choose chapter or problem)
QUESTION:
Functions to power series Find power series representations centered at 0 for the following functions using known power series. Give the interval of convergence for the resulting series.
\(f(x)=\frac{1}{1+x^{2}}\)
Questions & Answers
QUESTION:
Functions to power series Find power series representations centered at 0 for the following functions using known power series. Give the interval of convergence for the resulting series.
\(f(x)=\frac{1}{1+x^{2}}\)
ANSWER:Solution 39E
Step 1:
We know the power series of the geometric series is