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The values of a, b, c for which the func...

The values of a, b, c for which the function `f(x)= {((sin (a+1) x+sin x)/(x),x lt 0),(c"," x= 0,),(((x+bx^(2))^(1//2) -x^(1//2))/(bx^(1//2)),x gt 0):}` is continuous at x= 0, are

A

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

B

`a= - (3)/(2), c= (3)/(2), b` is arbitrary non-zero real number

C

`a= - (5)/(2), b= - (3)/(2), c= (3)/(2)`

D

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

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