Suppose we have: f(x) = Σ n=0 4n (n+1) xn n! |x| < ∞ Determine and simplify expressions for: (a) f(x)dx (b) f'(x) EC) Suppose we have 4" (n+1) X^ n 1x1 <0 n=0 n! f(x) = 2 4" (n+1) Determine and simplify expressions for: (f(x) dx Ratio Test an Lim 11700 ant tim n>x 4" (^+ ((n+1)+1) (h+i)! 4" (n+1) un n! 'X' n+l X 4+ ((n+1)+1) A! x Tim no∞ 4" 5+1 * (n+1) (n+1)/** 4 ((n+1)+1)/x/ Iim n->∞ (n+1)(n+1) Tim 4((1+1)+1) (n+1)2 1x Tim 15 4n+8 Cn+1) ① f(x).