What is the power series representation of $\int \frac{4e^{-x}-4}{x}$

I am having trouble solving this problem for my Calculus 2 class. I have attempted to split apart the integrand and solve it that way, but to no avail. Preferably, I would like the final answer to have the starting index of n=1. Steps would also be greatly appreciated.


Can you write power series representation of $e^{-x}$?

\begin{equation} 4\int \frac{e^{-x}-1}{x} = 4 \int \frac{(1-x+x^2/2\cdots)- 1}{x} \end{equation}

  • $\begingroup$ Your integrand is different from what I originally put. The "e" is raised to a negative "x". $\endgroup$
    – feonyte
    Nov 5 '17 at 23:45
  • $\begingroup$ Thanks, corrected. $\endgroup$
    – Atbey
    Nov 5 '17 at 23:50

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.