Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = e7x+5e-7x n = 0 = x1+x+x + x + .. R = 1 1 == 1-x =0 e-x = 1+ n=on! 1! + + 2! 3! + R = 0 x2n+1 sin x X + -+ 3! 5! R = 00 7! (-1)" - n=0 00 - (-1)". COS X = 1=0 (2n+1)! (-1)". tan x = #=0 x2n (2n)! x2n+1 1 - + 2! x 2n+1 3 00 In(1 + x) = (1)"1x" 8 n=1 (+)-(-1 (1 + x)* = k n x"=1+kx + 4! - 6! + 25 33 S 1 + R = 00 x7 R = 1 7 x + + R = 1 n 2 4 k(k-1) -x + 21 k(k-1)(k - 2) 3! R = 1