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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

`p= (5)/(2), q= (1)/(2)`

B

`p= -(3)/(2) , q = (1)/(2)`

C

`p= (1)/(2) , q =(3)/(2)`

D

`p =(1)/(2) , q = -(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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