Question: Find the first three non - zero terms of the Maclaurin series expansion ( c = 0 ) of f ( x ) = 3

Find the first three non-zero terms of the Maclaurin series expansion (c=0) of f(x)=3e3x in two ways.
a. Use the formula
f(a)+f'(a)(x-a)+f''(a)2!(x-a)2+f''(a)3!(x-a)3+dots+f(n)(a)n!(x-a)n+dots
Show your work in finding the coefficients.
b. Using the Maclaurin series for g(x)=ex(you can look up this series), write the Maclaurin series for h(x)=e3x. Then take the derivative using the power rule only (no chain rule!).
Find the first three non - zero terms of the

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