Tagged Questions
0
votes
0answers
40 views
Double summation including power and factorial
I am finding some trouble in computing the following sum:
$$\sum_{k=0}^\infty \frac{x^k}{k!}\;\sum_{m=0}^k\frac {y^m}{m!}$$
Could you please provide a result?
Thanks in advance
2
votes
2answers
204 views
factorial Vs power sequence
What sequence is dominant between
$ f(n) = n!$ and
$ g(n) = 2^n$ or (or $a^n$)
I mean
$ f/g -> 0 $ or $infinity$
0
votes
0answers
102 views
How to find the last non-zero digit in ${^n\!P_k} $?
What is the procedure of finding the last non-zero element in ${^n\!P_k}$?
0
votes
0answers
106 views
Is it true that $n> a^2\Rightarrow n!>a^n$, $n\in\mathbb{N}, a\in\mathbb{R}$?
If so, how can it be proven? (I have evaluated it up to $n=25$.)
If not, does there exist a $k\in\mathbb{R}$ such as that $n> a^k\Rightarrow n!>a^n$, with $n\in\mathbb{N},a\in\mathbb{R}$?
It ...
