# Thread: Taylor Coefficients

1. ## Taylor Coefficients

The Taylor series for f(x)=e^x at a = -3 is

∑ c(n)(x+3)^n
n=0

Find the first few coefficients. Note: c(n) is c sub-index n.

I'm trying to figure out the process by which these coefficients are found, please help!

2. Originally Posted by Del
The Taylor series for f(x)=e^x at a = -3 is

∑ c(n)(x+3)^n
n=0

Find the first few coefficients. Note: c(n) is c sub-index n.

I'm trying to figure out the process by which these coefficients are found, please help!
Coefficients are... $f(a), f'(a), f''(a), \ldots$

3. So what coefficients did you get for this particular problem? I can only get the first two as e^(-3), and I need the first 5.