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Expert-verified Found in: Page 434 ### Fundamentals Of Differential Equations And Boundary Value Problems

Book edition 9th
Author(s) R. Kent Nagle, Edward B. Saff, Arthur David Snider
Pages 616 pages
ISBN 9780321977069 # Question : find the power series expansion for given the expansions for f(x) and g(x). The required expansion is. See the step by step solution

## Step 1: Find the sum of functions

We know that the power series representation of the sum of two power series, given by is simply obtained by term-wise addition: For the given series In order to obtain sum we need to change the index of function g(x)

Let z=n-1=n=z+1 Since index is just a dummy variable, we can replace z with n; the series g(x) thus becomes ## Step 2: conclusion

The sum therefore is given by  ### Want to see more solutions like these? 