# Math Help - Does this function even exist?

1. ## Does this function even exist?

Find a function f and a simple closed contour C so that f is analytic in a neighborhood of C, but $\oint_Cf$is not 0.

Any help on this?

2. Originally Posted by paupsers
Find a function f and a simple closed contour C so that f is analytic in a neighborhood of C, but $\oint_Cf$is not 0.

Any help on this?
Take the unit circle as $C$, $f(z)=\frac{1}{z}$.