For the following indefinite integral, find the full power series centered at t = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f (t ) = / t 1 + +4 dt CO f(t) = C+ S 7=0 f (t) = C+ + -+ + The open interval of convergence is: (Give your answer in interval notation.)Solution - fit ) = t dt It t 4 t ( Itt " ) at t ( s ( 1 ) t 2720 ( - 1 ) t n= 0 40+2 ( - 1 ) . t 4n+ 2 - f ( t ) = 6 C+ t 14 + + + t 6 10 14 t 18 + 18 for convergence we will buse gratio tat M= 0 L - Lim Jan+1 21 an - lim (1) + 4 (2+ 1 ) + 1 un + 1 21 lim ( - 1 ) . t 4 /