# Taylor series problem

• Nov 6th 2008, 01:59 PM
Exiab
Taylor series problem
Well I was working late yesterday and missed how to do taylor series all together and there is a problem I am having troubles figuring out.

The function $\displaystyle f(x)=5/(x-3)$

Find the power series centered at x=6 and determine it's interval of convergence.

I understand the concept of taking the nth derivitive till you see a pattern and develop a power series based off the pattern but what exactly am i supposed to do with where the series is centered at?
• Nov 6th 2008, 02:42 PM
Mathstud28
Quote:

Originally Posted by Exiab
Well I was working late yesterday and missed how to do taylor series all together and there is a problem I am having troubles figuring out.

The function $\displaystyle f(x)=5/(x-3)$

Find the power series centered at x=6 and determine it's interval of convergence.

I understand the concept of taking the nth derivitive till you see a pattern and develop a power series based off the pattern but what exactly am i supposed to do with where the series is centered at?

$\displaystyle f(x)=\sum_{n=0}^{\infty}\frac{f^{(n)}(c)\left(x-c\right)^n}{n!}$

Is that what you are asking? C is where it is centered