Question

(a) Find the Maclaurin series expansion for f(x) = e 3x and prove that it converges...

(a) Find the Maclaurin series expansion for f(x) = e 3x and prove that it converges for all x ∈ R.

(b) Decide whether the series X∞ n=1 n + 1/ sqrt (n + 2)(n + 3)(n + 4) converges or diverges( (n + 2)(n + 3)(n + 4) is all under the sqrt)

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