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The value of p and q for which the funct...

The value of p and q for which the function
`f(x) = {((sin(p+1)x+sinx)/(x), ",",x lt 0),(q, ",", x = 0),((sqrt(x+x^(2))-sqrt(x))/(x^(1//2)), ",", x gt 0 ):}` is continuous for all x in R, are

A

`a = -2, b = 0, c != 0`

B

`a = -2, b != 0, c = 0`

C

`a = 2, b = 0, c != 0`

D

`a = 2, b != 0, c = 0`

Text Solution

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The correct Answer is:
B
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