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The values of p and q for which the func...

The values of p and q for which the function :
`f(x) = {{:((sin (p + 1)x + sin x)/(x), x lt 0),(q,x=0),((sqrt(x + x^(2)) - sqrt(x))/(x^(3//2)),x gt 0):}` is :
continuous for all x in R, are :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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