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If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{((sin (a+1)x+sin x)/(x)", for " x lt 0),(c", for " x=0),((sqrt(x+bx^(2))-sqrt(x))/(b sqrt(x))", for " x gt 0):}`, then

A

`a=3//2, c =1//2, b` is any real number

B

`a=-3//2, c=1//2, b` is R={0}

C

`a=3//2, c=-1//2, b in R -{0}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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