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If lim_(xto oo){(x^2+1)/(x+1)-(ax+b)}to oo, then |
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Answer» `a in (1,oo)` `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. |
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