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If f(x) = {{:(x+{x}+x sin {x}",","for",x...

If `f(x) = {{:(x+{x}+x sin {x}",","for",x ne 0),(0",","for",x = 0):}`, where {x} denotes the fractional part function, then

A

f is continuous and differentiable at x = 0

B

f is continuous but not differentiable at x = 0

C

f is continuous and differentiable at x = 2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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