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if f(x)={{:((sin(p+1)x+sinx)/(x),xlt0),(...

if `f(x)={{:((sin(p+1)x+sinx)/(x),xlt0),(x,x=0),((sqrt(x^(2)+x)-sqrt(x))/(x^(3//2)),xgt0):}` is continuous at `x=0` then p and q is

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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