evaluate the limit as t approaches inifinity of \lim_(t \to \infty) ( √(t)+ t^(2) )/(8t- t^(2) )

asked May 26, 2018 25.8k views

4 votes

evaluate the limit as t approaches inifinity of
$\lim_(t \to \infty) ( √(t)+ t^(2) )/(8t- t^(2) )$

7.5k points

Please log in or register to add a comment.

6 votes

$\displaystyle\lim_(t\to\infty)(\sqrt t+t^2)/(8t-t^2)=\lim_(t\to\infty)\frac{\frac1{t^(3/2)}+1}{\frac8t-1}=\frac1{-1}=-1$

Crobzilla answered May 31, 2018