Find the vertical asymptotes of the graph of the function

[Barbados_Slim]

Homework Statement

Find the vertical asymptotes of the graph of the function. (Use n as an arbitrary integer)
$\frac{tanx}{x}$

Homework Equations

N/A

The Attempt at a Solution

I believe the answer is $x=\frac{\pi(2n+1)}{2}$. I would just like somebody to confirm or deny this. Thanks in advance.

 

[SammyS]

If you are right, why is there no vert. asymptote at x = 0 ?

 

[Barbados_Slim]

Is it because the limit as x approaches 0 is 1?

 

[SammyS]

Correct !

So your answer in post #1 of this thread is right !

 

[Barbados_Slim]

Thank you for your help.