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Let f(x)={(e^x-1+ax)/x^2, x>0 and b, x=...

Let `f(x)={(e^x-1+ax)/x^2, x>0 and b, x=0 and sin(x/2)/x , x<0` , then

A

f(X) is continuous at x=0 if a=- 1, ` b=(1)/(2)`

B

f(x) is discontinuous at x=0 if b`bne (1) /(2)`

C

f(x) has irremovable diisontinuity at x-0, if `a ne -1 `

D

f(x) has removable discontinuity at `x=0 if a-=-1, bne (1)/(2)`

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The correct Answer is:
A, B, C, D
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