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lim as t approaches infinity (t^2 + 2)/(t^3 + t^2 -1)? Would this be 0? Could you show...
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`lim_(xrarroo) (t^2 + 2)/(t^3 + t^2 -1)`
`= lim_(xrarroo) (t^3(1/t+2/t^2))/((t^3(1+1/t-1/t^3)))`
`= lim_(xrarroo) (1/t+2/t^2)/(1+1/t-1/t^3)`
So the answer is 0.
Posted by jeew-m on April 15, 2013 at 6:15 PM (Answer #1)
`=lim_(t->oo) 1- (t^3(1-3/t^3))/(t^3(1+1/t-1/t^2))=` `1-lim_(t->oo)(1-3/t^3)/(1+1/t-1/t^2)` `=1-1=0`
Posted by oldnick on April 16, 2013 at 2:29 AM (Answer #2)
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