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If Lim(xto oo) (pcosx+xe^((1)/(x)))/(1+s...

If `Lim_(xto oo) (pcosx+xe^((1)/(x)))/(1+sinx+qcosx*e^((1)/(x)))=0`, then which of the following is are incorrect about p,q ?

A

`p=0,qinR`

B

`p=4,q=2`

C

`p=2,qinR`

D

`p=0,q=2`

Text Solution

Verified by Experts

The correct Answer is:
A
`underset(xto0^(+))Lim((pcosx)/(e^((1)/(x)))+x)/((1+sinx)/(e^((1)/(x)))+qcosx)=(0)/(0+q)rArrqinR-{0}," "underset(xto0^(-))Lim(pcosx+xe^((+1)/(x)))/(1+sinx+qcosxe^((1)/(x)))=p=0`
`rArrp=0,q in R-{0}`
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