Question

\[\sum_{n=1}^{\infty} \frac{ n! }{ (n+5)! }\] if i use the ratio test on this is the answer 1/5?

Answer 1

the answer i get is 1

Answer 2

\[\frac{ (n+1)! / (n+6)! }{ (n+5)!/n! } = \frac{ (n+1)*n! /n!*(n+1)(n+2)... (n+5)(n+6) }{ (n+1)(n+2)...(n+5)*n!/n! }\]

taking the limit as n approaches infinity = 1

Answer 3

some cut off

Answer 4

\[\frac{ n+1 }{ n+6 }\]

Answer 5

I trust your answer more than mine, it looks like you know your stuff better ;)

Answer 6

hehe :) i love calculus

Answer 7

:( calc kills me

Answer 8

hehe. it means no harm :)