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#1

$Old$ December 1st, 2008, 07:31 PM

Faz $Faz is offline$

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find the following limits

lim ->infinite ((x^2/x+5)-x)

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#2

$Old$ December 1st, 2008, 08:25 PM

Rapha $Rapha is offline$

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Hi Faz

Quote:

Originally Posted by Faz $View Post$

find the following limits

lim ->infinite ((x^2/x+5)-x)

Do you mean $lim_{x \to \infty } \frac{x^2}{x+5}-x$ ?

Then

$lim_{x \to \infty } \frac{x^2}{x+5}-\frac{x(x+5)}{x+5}$

$= lim_{x \to \infty } \frac{x^2- x(x+5)}{x+5}$

$= lim_{x \to \infty } \frac{x^2- x^2 - 5x)}{x+5}$

$= lim_{x \to \infty } \frac{-5x}{x+5} = lim_{x \to \infty } \frac{-5}{1+\frac{5}{x}} = - 5$

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