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

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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` **

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