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Let f(x)={(x(e^([x]+x)-4)/([x]+|x|), , x...

Let `f(x)={(x(e^([x]+x)-4)/([x]+|x|), , x!=0),(3, , x=0):}`
Where [ ] denotes the greatest integer function. Then,

A

f(x) is discontinuous at x = 0

B

f (x) is continuous at x = 0

C

`lim_(x to 0)f(x)` exists

D

None of these

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The correct Answer is:
A
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