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## Homework Statement

I'm told these are

(1) f(x) is a periodic function;

(2) f(x) has only a finite number of finite discontinuities;

(3) f(x) has only a finite number of extrem values,

and I've got a function 1/(3-x) which I'm asked to give reasons why it doesn't satisfy the conditions in (0,2pi). i've plotted and at 3 it buggers off to infinity and pops back after x = 3. Which condition doesn't this satisfy. It's a discontinuity I know, but there is only one (finnite). Is it that it's not periodic? When the question says in (0,2pi) does that mean from that we're only looking at the function here

Thanks

Thomas