Question

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

Answer 1

`\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`