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

Question

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

1 Answer

Impact of this question

1689 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-10T13:43:50

#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!

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question