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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+c=0,b=1

B

`a+c=1,b in R`

C

`a+c = -1,b in R`

D

a-c=-1, b=-1

Text Solution

Verified by Experts

The correct Answer is:
C
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