Question

Suppose Ja f(2)= k +1 k=1 (e) Find the first three nonzero terms of the power series for (f (x))? (f) Find the function f(x).

Answer 1

latt (a) F(x)= BW Ý k zek K+1 kal at 20? + + 3 5 (FM)) = (aut2x2 + x3+ 4*S*....) (x2)+(BO Х 3 хч 3x2 + 3*XX) + 5 ) x ( to be the theatret) t... = 6)x2 + x3 +()x+ ( a ) x +-.. Zoek a (6) Feel a K 71 K+2 Lim kyoo akti ak im kroo (+) k K+1 xK Kati Retro Lim (K+1)(K+1)x kuo KK+2) im ke 1 + 1)(1+1)x k400 K?(1 + $ 1 2

Apply limit 6)(1+ (1+2) 11 bo) xD 182/8 to (L)(1) X = 1x1 if Ixkt then it is convgt lalal ther it is drugt
solution of both the part are in pictures