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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<0q , x=0(sqrt(x+x^2)-sqrt(x))/(x^(3//2)), x >0}` is continuous for all x in R, are: (1) `p=1/2, q=-3/2` (2) `p=5/2, q=-1/2` (3) `p=-3/2, q=1/2` (4) `p=1/2, q=3/2`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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