Ohh I can't edit it anymore...I think it is correct but I wanted to change the forms of some stuff.
I like this better, for example:
f'(1) = 7/0! + 7^2/1! + 7^3/2! ... \sum^{\infty}_{n=1}\frac{7^n }{(n-1)!} = 7(1 + 7 + 7^2/2! + 7^3/3!...)
Ok I think I got it.
If f(x) = \sum^{\infty}_{n=0}a_{n}x^n find the value of f'(1)
a_{0} = 1 and a_{n} = (7/n)a_{n-1}
f(x) = 1/0! + 7x/1! + 7^2x^2/2! + 7^3x^3/3!... \sum^{\infty}_{n=0}\frac{7^nx^n}{n!}
f'(x) = 0 + 7/0! + 7^2x/1! + 7^3x^2/2! ... \sum^{\infty}_{n=1}\frac{7^n x^{n-1}}{(n-1)!} =...
Sum of a Series - 1983 BC 5 part C
I don't have the actual problem (this is for a friend) but this is what I could gather from what she was saying.
Homework Statement
If f(x) = \sum^{\infty}_{n=0}a_{n}x^n find the value of f'(1)
a_{0} = 1 and a_{n} = (7/n)a_{n-1}
Homework Equations...