Question

justify diverges (-1)^(n+1)/(e^-n) solve by divergence test

Answer 1

ok let me see what you have here

Answer 2

that looks to advanced for me. sorry

Answer 3

nice, thanks

Answer 4

I can get to (-e^n)(-1^n)

Answer 5

\[\sum _{n=1}^{\infty} \frac{(-1)^{n+1}}{e^{-n}}=\sum _{n=1}^{\infty} \frac{(-1)*(-1)^{n}}{\frac{1}{e^n}}=\sum _{n=1}^{\infty} -(-1)^n e^n = \sum _{n=1}^{\infty} -(-e)^n\]
This is a geometric series and since
\[\left| r \right| \ge 1\]
It diverges

Answer 6

nice thanks