Analytic Function Homework: Exp[(z^3+1)/(z-1)]

[Fairy111]

Homework Statement

Determine the largest subset of C (complex numbers) on which the following function is analytic.

Homework Equations

exp[(z^3+1)/(z-1)]

The Attempt at a Solution

I don't really understand what analytic means, and am having trouble starting this question.

 

[HallsofIvy]

Then you had better look up "analytic" in your textbook!

 

[Fairy111]

i know what it means, as in the definition etc

im just not sure how to go about finding the largest subset.

 

[Fairy111]

could someone please give me some help on this question, as i really don't understand it.

 

[Dick]

Where is the derivative of the function defined? Where is it undefined?