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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` (2) `p=-3/2, q=1/2` (4) `p=1/2, q=3/2`

A

`(1/2m-3/2)`

B

`(5/2,1/2)`

C

`(-3/2,1/2)`

D

`(1/2,3/2)`

Text Solution

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The correct Answer is:
c
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