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if f(x) ={{:( (x log cos x)/( log( 1+x^(...

`if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):}`
a. f is continuous at x = 0
b. f is continuous at x = 0 but not differentiable at x = 0
c. f is differentiable at x = 0
d. f is not continuous at x = 0

A

f is continuous at x = 0

B

f is continuous at x = 0 but not differentiable at x = 0

C

f is differentiable at x = 0

D

f is not continuous at x = 0

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The correct Answer is:
A, C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (More Than One Correct Option Type Questions)
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  7. if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} ...

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