# Taylor Coefficients

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• March 24th 2008, 11:08 AM
Del
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!
• March 24th 2008, 11:26 AM
colby2152
Quote:

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... $f(a), f'(a), f''(a), \ldots$
• March 24th 2008, 11:49 AM
Del
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.