C0900TextPages_page_80

C0900TextPages | page 80 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

672 CHAPTER 9 Infinite Series EXAMPLE 4 Finding a Power Series by Integration Find a power series for f(x) = In x, centered at 1. Solution From Example 2, you know that i= Ss (=1)"(« - 1)". Interval of convergence: (0, 2) n=0 Integrating this series produces nx= [tas Cc x oo (x — jj! =C+ a pees c…