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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=-2, b=R, c=0`

B

`a=-2, b!=0, c=0`

C

`a=(-3)/(2), b=R, c=1/2`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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