1.

The function `f(x)=sgn(x-1). Cot^(-1)[x-1]` is `([x] "denotes greatest integer function of x")`A. Discontinuous at `x=1`B. Continuous and differentiable at `x=1`C. Not defined at `x=1`D. Continuous but not differentiable at `x=1`

Answer» Correct Answer - A
`f(1)=0,f(1^(+))=(pi)/(2),f(1^(-))=(pi)/(2),f(1^(-))=-(3pi)/(4)`


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