Another problem with series...

This series section is really bugging me. Am I allowed to use the word friggin? I can't get an answer that makes sense for n!/100^n with the Riemann symbol in front. I try to use the Ratio Test and then realize that the terms are positive so I don't need an absolute value.

I do some algebraic manipulation and come up with ((n+1)/(101)^n)) I don't see how I can take a limit/simplify the denominator here. Do I divide everything by ((101)^n))? Or did I do something wrong along the way and I should be getting a different result where I can see if it is <1 (converges) >1 (diverges) or = 1 (inconclusive).