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If f(x) = {{:((sin^(-1)x)^(2)cos((1)/(x)...

If `f(x) = {{:((sin^(-1)x)^(2)cos((1)/(x))",",x ne 0),(0",",x = 0):}` then f(x) is

A

continuous nowhere in `-1 le x le 1`

B

continuous everywhere in `-1 le x le 1`

C

differentiable nowhere in `-1 le x le 1`

D

differentiable everywhere in `-1 le x le 1`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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