Question: (a) Find the Taylor-series expansion about x = 0 for ex. (b) Use the Taylor series (about x = 0) of sin x, cos x,

(a) Find the Taylor-series expansion about x = 0 for ex.
(b) Use the Taylor series (about x = 0) of sin x, cos x, and ex to verify that eiθ = cos θ + i sin θ [Eq. (1.28)].

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