Question: find the Taylor polynomials Find the Taylor polynomials P . P, , P, , and p ; for f (x) = In x at x

find the Taylor polynomials

Find the Taylor polynomials P . P, , P, , and p ; for f (x) = In x at x = 1. O PO = ( x-1) P 1 = ( x - 1 ) - - (x-1)2 2 P 2 = (x-1) - - (x-1)2+- (x-1)3 3 P 3 = (x - 1) - - (x- 1) 2+- (x-1)3-1(x-1)4 4 O Po = 1 P, =1+(x-1) P, = 1+ (x-1) - -(x-1)2 2 P 3 = 1+ ( x - 1) - - (x-1)2+ -(x-1)3 N OP. = 0

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