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Let f : R rarr R satisfying |f(x)|le x^(...

Let `f : R rarr R` satisfying `|f(x)|le x^(2), AA x in R`, then show that f(x) is differentiable at x = 0.

A

f' is continuous but non-differentiable at x = 0

B

‘f ’ is discontinuous at x = 0

C

‘f ’ is differentiable at x = 0

D

None of these

Text Solution

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The correct Answer is:
C
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