Examine the continuity of tan(pi/x)

[ilhamGD]

Homework Statement

Examine the continuity of
P: x -----> tan(Pi/x)

2. The attempt at a solution:
I considered fog with f=tan(x) and g=Pi/x
But the problem I have is with the domain of definition
can someone please help !

 

[HallsofIvy]

For what values of $\theta$ is $tan(\theta)$ not continuous? For what values of x is $\pi/x= \theta$?

 

[ilhamGD]

So P is not continuous on 0 and 2/2k+1 right ??