Let $[t]$ denote the greatest integer less than or equal to $t$. Let $f(x)=x-[x], g(x)=1-x+[x]$, and $h(x)= \min \{f(x), g(x)\}, x \in[-2,2]$. Then $h$ is :
Select the correct option:
A
continuous in [–2, 2] but not differentiable at more than four points in (–2, 2)
B
not continuous at exactly three points in [–2, 2]
C
continuous in [–2, 2] but not differentiable at exactly three points in (–2, 2)
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
