Question

(1 point) Let f(x) = ? Compute (5+4x)/x f(x) = f'(x) = f(1) = f'(1) = f"(1) = f"(1) = f(iv) (1) = f (1) = f(iv)(x) = f(V)(x) = We see that the first term does not fit a pattern, but we also see that f (b)(1) = Hence we see that the Taylor series for f centered at 1 is given by for k 1. f(x) = 9+ Ž (x - 1)

Answer 1

Salmo Fas= 5* 5+42 compute f(1) = 1 9 f\x) = F"(x) = fles = 5] {"(19 = [10 10 Io ) = 1-30 24 -) fle (1) = [120] 120 = f (*) - - Soo pl = 5600 We see that the first term does not fit a pattern, but We also see that f* (1) = ((-10k. Sk!) for Kid since , The Taylor series of f centered at x=a is defined as f'(a) (x-a, defined as. Thus, Taylor series of f centered at xas is f(A) = 9+ Ê ) (+s + cysmi x=9* - KI Therefore, flx) 59+ 6-1,65 (x=13*