Question

How do you find `lim_(t to oo)sqrt(t^2+2)/(4t+2)`?

Answer 1

`lim_"t ->+∞"(sqrt(t²+2))/(4t+2)=1/4`

Explanation:

`lim_"t ->+∞"(sqrt(t²+2))/(4t+2)`
`=lim_"t -> +∞"(|t|)/(4t+2)`
`=lim_"t - >+∞"t/(4t+2)`
`=lim_"t ->+∞"t/(4t)+0^-`
`=1/4+0^-`
`=1/4`
\0/ here's our answer!