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If f (x) = {{:(( x log cos x )/( log (1 ...

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

A

continuous as well as differentiable at x = 0

B

continuous but not differentiable at x = 0

C

differentiable but not continuous at x = 0

D

neither continuous nor differentiable at x = 0

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A
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