- #1
mooncrater
- 217
- 18
There is this summation, that I've been trying to solve, but am not able to do so. It is :
$$\sum\limits_{i=k}^{n} \frac {1}{(n-i)! m^{i-1}}$$
I would be happy to find it's upper bound too. So what I did was intensely naive. I made the denominator the minimum by making ##(n-i)! = 1## and ##m^{i-1} = m^{k-1}## (As that would give an upper bound too, but rather a loose one). That, as expected, didn't suffice my needs. Any ideas about how to solve this one?
Moon.
$$\sum\limits_{i=k}^{n} \frac {1}{(n-i)! m^{i-1}}$$
I would be happy to find it's upper bound too. So what I did was intensely naive. I made the denominator the minimum by making ##(n-i)! = 1## and ##m^{i-1} = m^{k-1}## (As that would give an upper bound too, but rather a loose one). That, as expected, didn't suffice my needs. Any ideas about how to solve this one?
Moon.