Answer
The function $ f(x)=\frac{1}{2^x-2^{-x}}$ is discontinuous at $ x=0$. The discontinuity is infinite.
Work Step by Step
Since we have $$2^x-2^{-x}=0 \Longrightarrow 2^{2x}=2^0 \Longrightarrow x=0.$$
Hence, the function $ f(x)=\frac{1}{2^x-2^{-x}}$ is discontinuous at $ x=0$. The discontinuity is infinite.
