Please teach how to solve

Use the MacLaurin series for e" to find a power series representation for the following function and the interval of convergence. f ( a) = xe-2 [A] Find a power series representation for f(x). Note that ( - 1)" is already included in the series and doesn't need to be included in your inputted answer. f (2 ) = > ( - 1) n * (2 + 9 ) n! n = 0 [B] Find the inteval of convergence for the power series above: Interval of convergence: (-00,00 ) [C] Find a power series expression for the following (x'e " dx = _ (- 1)" x (n + 10 ) (n + 10) (n!) + c n = 0 [D] Use the first four terms of the power series derived from part C to evaluate the following. Round your answer to four decimals. 3.5 xe " dx = o [E] From your result from part D find a bound on the error for your estimate of 3.5 'e dac. While there could be several error bounds for a series that converge use the error bound that was discussed for a convergent alternating series. Round your answer to four decimals. error <