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The values of a,b and c which make the f...

The values of a,b and c which make the function `f(x)={{:(("sin"(a+1)x+"sinx")/(x),xlt0),(C,x=0),(sqrt(x+bx^(2)-sqrt("x"))/(b"x"^(3//2)),"x"gt0):}`
continuous at `x=0` are

A

`a=-3/2,c=1/2,b=0`

B

`a=3/2,c=1/2,bne0`

C

`a=-3/2,c=1/2,bne0`

D

none of the above

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