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Solved: Functions to power series Find power series
Chapter 8, Problem 40E(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.
\(f(x)=\frac{1}{1-x^{4}}\)
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.
\(f(x)=\frac{1}{1-x^{4}}\)
ANSWER:Solution 40EStep 1:We are asked to find the power series representation of with centre 0.We know that a geometric series provided |r|<1Therefore for a function for Here the interval of convergence is (-1,1)