Math, asked by deepik0i7swetajain, 1 year ago

greatest integer function is not differentiable at integral points. give reason

Answers

Answered by amithaldar
28
At Integral points the Left Hand Limit of the function is not equal to the Right Hand Limit.
Ex. Greatest integer value of 2.
LHL = lim h- 0f (2-h) = 1(as h is a very small integer greatest integer to the left of 2-h = 1).
RHL = lim h - of (2+h) = 2
Therefore, LHL is not equal to RHL

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