Question

Find the sum of ((-ln 3)^n) / n!

Answer 1

\[\sum_{n=0}^{\infty} (\frac{ (-\ln 3)^n) }{ n! } \]

Answer 2

is not (inside the sum notation) \[\frac{ 1 }{ (\ln3)^n*n! }\]?

Answer 3

this converges, clearly using ratio test or integration.
But how do we get the sum??

Answer 4

I don't know!! don't answer, let me have a chance to review my knowledge, I studied. I go now, kid