(1)k+1 In (1 + k (2k)! 1)kx2k+1 Taylor Series to Know (centered at 0) 4! (b) 1-1+ 2 3 3! 5! 3 5 4 7! 7 For each function f(.r) and its Taylor series T(.r) above, = T(.r) when is in the interval of convergence of "I'(r). We can use this to find the sum of series. 3. Find the sum of the following series, using your knowledge of the Taylor series above. 8 16 2! 23 25 27 29