# Homework Help: Complex z limit

1. Feb 3, 2009

### kathrynag

1. The problem statement, all variables and given/known data

For what values does the limit exist?
$$Lim_{n\rightarrow}\infty$$($$\frac{z}{z conjugate}$$)^n

2. Relevant equations

3. The attempt at a solution
[(x+iy)/(x-iy)]^n
I just don't know how to tell when it exists. For even values of n because then there would be no sign changes?

Last edited: Feb 3, 2009
2. Feb 4, 2009

### Office_Shredder

Staff Emeritus
It should be obvious that the existence or non-existence of the limit depends on z (alternatively, x and y) not on n, since n is the argument for the limit (aside: is there a name for that?)

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