ID: Class: 12 Subject: Math Topic: Continuity and Differentiability Type: Mcq Year: 2025

Question:

If \(f(x)=\{[x],x\in R\}\) is the greatest integer function, then the correct statement is:
  • A. f is continuous but not differentiable at \(x=2\).
  • B. f is neither continuous nor differentiable at \(x=2\).
  • C. f is continuous as well as differentiable at \(x=2\).
  • D. f is not continuous but differentiable at \(x=2\).