Classifying Singular Points: Regular or Irregular?

[Success]

Homework Statement

Find all singular points of xy"+(1-x)y'+xy=0 and determine whether each one is regular or irregular.

Homework Equations

The answer is x=0, regular.

The Attempt at a Solution

I know that x=0 since you set whatever is in front of y" to 0 and you solve for x, right?
And I think you supposed to take the limit as x approaches to 0 but I don't know which function to take the limit of.

 

[LCKurtz]

Have you looked in your text to see the definition of a regular singular point? What is it?