# Infinite Summation

1. Jan 18, 2010

### krayzee

1. The problem statement, all variables and given/known data

Define Tn as the sum of the first n terms, for various values of a and x, e.g. T9(2,5) is the sume of the first nine terms when a = 2 and x = 5.

The first n terms are 0-10, including both 0 and 10.

2. Relevant equations

T0=1, T1= (xlna)1/1, T2= (xlna)2/2!, T3= (xlna)3/3!.... Tn = (xlna)n/n!

3. The attempt at a solution

Using a graphing calculator, seq(xlna)n/n!,n,0,10)

The relationship between x and a is: n --> infinity, Sn --> ax, Sn represents the sum of n.

2. Jan 18, 2010

### rock.freak667

I am not too sure what the question is but this seems like it might help

$$e^x=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+... = \sum_{n=0} ^{\infty} \frac{x^n}{n!}$$