Could you please calculate this limit `lim(x-> oo) (4x+7)/(x + sqrt x)`

1 Answer | Add Yours

justaguide's profile pic

Posted on

The limit `lim(x-> oo) (4x+7)/(x + sqrt x)` has to be determined.

`lim(x-> oo) (4x+7)/(x + sqrt x)`

substituting `x = oo` , gives the indeterminate form `oo/oo` . Use l'Hopital's rule and replace the numerator and denominator with their derivative.

= `lim_(x->oo) 4/(1 + (1/(2*sqrt x)))`

As `x -> oo` , `1/x -> 0`

Substituting `x = oo`

= 4

The limit `lim(x-> oo) (4x+7)/(x + sqrt x) = 4`

We’ve answered 324,273 questions. We can answer yours, too.

Ask a question