CUET Preparation Today
CUET
-- Mathematics - Section B1
Continuity and Differentiability
The number of points at which the function $f(x)=\frac{1}{x-[x]}$ is discontinuous is
1
2
3
None of these
$f(x)=\frac{1}{\{x\}}$
The given function is discontinuous at all integral points
Hence (4) is the correct answer.