Mathematics · Continuity and Differentiability
If f(x) = [x] represents the greatest integer function, then which of the following statements is correct at x = 2?
- 1f is continuous but not differentiable at x = 2
- 2f is neither continuous nor differentiable at x = 2✓
- 3f is continuous as well as differentiable at x = 2
- 4f is not continuous but differentiable at x = 2
Correct answer
f is neither continuous nor differentiable at x = 2
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