Question

(a) Find a power series representation for the function. 4 f(x) = 13 +α 1 13η 2+1 4Σ(-1)+1 Σ ΤΩ=0 2+1 Σ(-1)* (1) Ta=0 4 (-1)". 13η O Ta=0 1 4Σ(-1)". 13n+1 2=0 1 13 (-1)* 42+1,2 Σ Ta=0 (b) Determine the interval of convergence. ?ν ?ν

Answer 1

Find a power poco en series representation for den function 나 fcx) = 1342 solution Civen that J fox) 1342 ia & fex) = 13(1+) . a fox) i's (1+2 1/2) = f(x) 13 (1 + 2 / 2 provided 12/31 <1 mi =) 4 E 13 13 n=0 n 2 ५ 13 n=0 ê (1963) n a 9 2 4 & no 30th The power series representation of the function is L 4 @ folk" 1137+1 mao Then the interval at convergence. ha I Ll (ov) • 1 2 4 3 kis * 1 2 7 3 1 - 13 L x L. 13 The Interval at convergence [-13, 13]

The power series representation for the function is u § fim 1 70 13 zonti option number ( is your required Answer Interval af convergence. [-13, 13] (01) Louki Thank youu