Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = 8ex + eбx M8 00 n=0 x = Σ= 1 + +. R = 1 11-0 x = 1+ n-on! 00 sin x (-1)" - -0 1! 21 31 x2m+1 (2n+1)! =x- + x 5! R = 00 - R = 00 Σ(-1)* x2m cos x=(-1)". = 1 21 4! 11-0 tan-x=(-1)* -0 00 k (2n)! x-2n+1 2n+1 =x - 6! - R = 00 R=1 5 k(k-1) k(k-1)(k-2) = 1 + kx + R=1 2! 3! (1 + x)* = (^)x*= Σ 11-0

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