JEE Advanced Mathematics question
A function is defined as follows:
f(x)=
- (A) is not continuous at , but differentiable there
- (B) is continuous at , but not differentiable there
- (C) is continuous at , but not differentiable thereCorrect
- (D)none of the above
Answer: (C)
Solution
(No hint in the book.) Check the three junctions.
- : , → discontinuous, hence **not** differentiable. (a) ✗ (a function discontinuous at a point can never be differentiable there).
- :
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Question ID VK-109339