Question

Let [∙] represents the greatest integer function and f(x)=[tan² x], then

• A.
  
• B. f(x) is continuos at x=0
• C. f(x) is non-differentiable at x=0
• D. f'(0)=1

Answer 1

The correct option is B f(x) is continuos at x=0

We have,

Hence, f(x) is differentiable and hence continuos at x=0 and then f ' (0) =0.