Zenmo
  • Zenmo
Find the limit, if it exists. (Calculus)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Zenmo
  • Zenmo
\[\lim_{t \rightarrow \infty}\frac{ \sqrt{t}+t^{2} }{ 7t-t^{2} }\]
TylerD
  • TylerD
try dividing everything by t^2
Zenmo
  • Zenmo
|dw:1444043607565:dw|

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TylerD
  • TylerD
\[\frac{ \frac{ \sqrt{t} }{ t^2 }+\frac{ t^2 }{ t^2 } }{ \frac{ 7t }{ t^2 } -\frac{ t^2 }{ t^2 }}\]
TylerD
  • TylerD
right
Zenmo
  • Zenmo
then we just plug in zero?
TylerD
  • TylerD
are you taking the limit to infinity or 0?
Zenmo
  • Zenmo
infinity
TylerD
  • TylerD
ya, the you get something like |dw:1444043756559:dw|
TylerD
  • TylerD
those terms goto 0, and you get -1
Zenmo
  • Zenmo
can you show how you gotten the numerator of 1/tln5. I may need a bit refresher in that area.
TylerD
  • TylerD
|dw:1444043877047:dw|
TylerD
  • TylerD
thats 1.5 not ln5
Zenmo
  • Zenmo
Last question, what made you choose the value of 0.5?
TylerD
  • TylerD
the square root of something means your raising it to the power of 1/2 or 0.5
Zenmo
  • Zenmo
then u plug in the square root power of 1/2 or 0.5 and plug used it as the value of t for t^2?
Zenmo
  • Zenmo
to get t^1.5
TylerD
  • TylerD
|dw:1444044104865:dw|
Zenmo
  • Zenmo
Ok I see it. Thanks :D

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