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Let f(x)={{:((sin(a+1)x+sinx)/(x)",",xlt...

Let `f(x)={{:((sin(a+1)x+sinx)/(x)",",xlt0),(c",",x=0),((sqrt(x+bx^(2)))/(bx^((3)/(2)))",",xgt0):}`
If f(x) is continous at x = 0, then

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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