# infinite summation problem

• March 14th 2010, 05:09 PM
infinite summation problem
I need to calculate the sum of the first n terms of ln(a)^n÷n! where 0≤n≥10. What values of a can I use?
EDIT: sorry i meant 0≤n≤10
• March 14th 2010, 05:32 PM
Anonymous1
Quote:

where 0≤n≥10

???????

I think you meant $0\leq n \leq 10$

you can use all values of $a$ that don't cause problems with the range of $\ln(a), i.e., a > 0.$
• March 14th 2010, 05:35 PM
Anonymous1
Are you sure there is a stipulation on the value of $n?$ If this is in fact an infinite series then we have:

$\sum_{n=0}^{\infty} \frac{\ln(a)^n}{n!} = e^{ln(a)} = a$ where $a>0.$
• March 14th 2010, 05:55 PM