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Let f(x) = {(x sin(1/x)+sin(1/x^2),; x!=...

Let `f(x) = {(x sin(1/x)+sin(1/x^2),; x!=0), (0,;x=0):},` then `lim_(x rarr oo)f(x)` is equal to

A

f is differentiable at x = 0 an x= 1

B

f is differentiable at x = 0 but not at x = 1

C

f is differentiable at x =1 but not at x = 0

D

f is neither differentiable at x = 0 nor at x =1

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The correct Answer is:
B
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