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

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

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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!

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

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