If f(x) ={((5^(x)-e^(x))/(sin 2x),",",x ...

If `f(x) ={((5^(x)-e^(x))/(sin 2x),",",x != 0),(1/2(log 5+1),",",x = 0):}` , then

A

(a) f(x) is continuous at `x = 0`

B

(b) f(x) is discontinuous at `x = 0`

C

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

D

(d) none of these

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The correct Answer is:

B

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