How do you find #lim (1-2t^-1+t^-2)/(3-4t^-1)# as #t->0#?

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How do you find #lim (1-2t^-1+t^-2)/(3-4t^-1)# as #t->0#?

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Answer 1 · 2018-05-10T13:53:23

#Lim_"t->0"(1-2t^-1+t^-2)/(3-4t^-1)=±oo# depending on if #t->+oo# or #t->-oo#

Explanation:

#Lim_"t->0"(1-2t^-1+t^-2)/(3-4t^-1)#
#=Lim_"t->0"(t²-2t+1)/(3t²-4t)#
#=Lim_"t->0"-1/(4t)#
#=±oo# depending on if #t->+oo# or #t->-oo#
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How do you find #lim (1-2t^-1+t^-2)/(3-4t^-1)# as #t->0#?

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