1.

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 ?

Answer»

`p=0,qinR`
`p=4,q=2`
`p=2,qinR`
`p=0,q=2`

SOLUTION :`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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