- #1
Hertz
- 180
- 8
I came across this series by recognizing a pattern while trying to evaluate an integral. I was wondering if the series could be solved in a generalized form where n can vary, and if so, can the limit then be taken as n approaches infinity?
You can't take the infinite series without first solving the finite series because of the (n - k)!
:S!
[itex]\Sigma^{n}_{k = 0}((\frac{n!}{(n - k)!})x ln^{n - k}(x))[/itex]
You can't take the infinite series without first solving the finite series because of the (n - k)!
:S!
[itex]\Sigma^{n}_{k = 0}((\frac{n!}{(n - k)!})x ln^{n - k}(x))[/itex]