C0900TextPages_page_59

C0900TextPages | page 59 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

SECTION 9.7 Taylor Polynomials and Approximations 651 EXAMPLE 4_ Finding Taylor Polynomials for In x Find the Taylor polynomials P,, P,, P,, P;, and P, for f(x) = In x centered at c = 1. Solution Expanding about c = | yields the following. f(x) =Inx fC) =Ini =0 ro) =* rte po=-b rye bent rw=5 r= 52…