1.

If lim_(xto oo){(x^2+1)/(x+1)-(ax+b)}to oo, then

Answer»

`a in (1,oo)`
`a NE 1 , b in R`
`a in (-oo,1)`
NONE of these

Solution :We have,
`lim_(n to oo) {(X^2+1)/(x+1)-ax-b}=oo`
`rArr lim_(x to oo) (x^2(1-a)-x(a+b)+1-b)/(x+1)=oo`
The limit of the given expression will be infinity, if degree of numberator is more than that of denominaotor.
`THEREFORE 1-a gt 0rArr alt 1`.
HENCE, `a in (- oo,1)` can assume any real value.


Discussion

No Comment Found

Related InterviewSolutions