[5 marks] Each of the following functions admits a MacLaurin series expansion. For each series:

i. Give its representation in Maclaurin series using summation notation.

ii. Explicitly write its first four (4) nonzero terms. Write the exact numbers for the coefficients.

Your answers must be well justified. Show off all your steps!

(a)f(x)=(13x)54 (b)g(x)=x2e3x