anonymous
  • anonymous
Need help with a limit
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\lim_{t \rightarrow \infty} \frac{ t-t \sqrt{t} }{ 2\sqrt{t ^{3}}+3t-5 } \]
alekos
  • alekos
nice one. give me a minute
anonymous
  • anonymous
is \[2\sqrt{t^{3}}=2t?\]

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anonymous
  • anonymous
nope nvm
baru
  • baru
its \[2t\sqrt{t}\]
baru
  • baru
try dividing nr and dr by that^
tkhunny
  • tkhunny
Have you considered dividing each term by \(t^{3/2}\)?
anonymous
  • anonymous
yea, im trying that
tkhunny
  • tkhunny
Better yet, just observe that the "degree" of the denominator is the same as the "degree" of the numerator and immediately call out in an excited voice that the limit is -1/2!! That's how it worked back in your Rational Function days.
anonymous
  • anonymous
oh wait lol totally went over my head that \[t \sqrt{t}=t ^{\frac{ 3 }{ 2 }}\]
alekos
  • alekos
yeah, that makes sense. i agree -1/2
anonymous
  • anonymous
that makes a lot easier now Thanks guys
anonymous
  • anonymous
yup I got -1/2

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