# How do I determine if a function is analytic at x=a?

1. Oct 15, 2012

### stgermaine

1. The problem statement, all variables and given/known data
I'm studying diff eq and I'm not sure how to show that a function is analytic at point x=a. I know that the definition says that a function p(x) is analytic if it has a Taylor series expansion at x=a, but not sure how to show it.

Thank you for the help!

2. Relevant equations

3. The attempt at a solution

2. Oct 15, 2012

### micromass

Do you have a particular function you need to check?