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If the function f as defined below is co...

If the function f as defined below is continuous at x=0find the values of a,b and c `f(x) = {(sin (a+1)x +sin x)/x, x<0 and c, x=0, and (sqrt(x+bx^2)-sqrt(x))/(bx^(3/2)), x>0`

A

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

B

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

C

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

D

none of these

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The correct Answer is:
c
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