If f(y)={(((e^(2y)-1)*siny)/(y^(2)),", ...

If `f(y)={(((e^(2y)-1)*siny)/(y^(2)),", for "y ne 0),(4,", for "y=0):}`, then f(y) is

A

(a) f(y) is discontinuous at `y = 0`

B

(b) f(y) is continuous at `y = 0`

C

(c) `lim_(y to 0)f(y)` does not exist

D

(d) none of these

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The correct Answer is:

A

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