3. Prove that each of the following functions is analytic on R and find its Maclaurin expansion....

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3. Prove that each of the following functions is analytic on R and find its Maclaurin expansion.

(b) eX cosx.

(c) sinx.

eX

(d) f(x) := { (aX - 1)/x log a x¥=O x=O

(where a > 0 fixed).

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