Answer
The function $ f\left( x \right)=\pi $ is not discontinuous for any number.
Work Step by Step
Consider the rational function $ f\left( x \right)=\pi $,
Here, $ p\left( x \right)=\pi \text{ and }q\left( x \right)=1$
Find the zeros of the function $ q\left( x \right)=1$ by $ q\left( x \right)=0$,
$1=0$
Which cannot be possible,
Thus, $1\ne 0$
There is no zero of the function $ q\left( x \right)=1$.
Thus, the function $ f\left( x \right)=\pi $ is not discontinuous for any number.