Use the definition to find the Taylor series (centered at c) for the function. f(x) = ex, c=0 O 82n n-0 n! O (-1)"x n! O O (-1)"x-2n n-0 n! O 2n n -0 (2n)!Consider the function given by fix) =Z[li4] . Find the interval of 5-0 convergence for I f (x) cit. 0 (0,14) C) [-14,14] 0 (44,01 C) [-14,L4) 0 (-14,14) 4 Find a power series for the function centered at 0. 4x+5 O E(-1)" 4x +1 5 n-0 O n2+1 O 2+1 uilA O 2+1 M s n-0 O 172+1 [(-1)" 4x n-0 5Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) E)( 1)::ijr 6) 0 (-6,6) 0 [-645] O {6} O {0] O (-00.00)