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Zenmo

  • one year ago

Find the limit, if it exists. (Calculus)

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  1. Zenmo
    • one year ago
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    \[\lim_{t \rightarrow \infty}\frac{ \sqrt{t}+t^{2} }{ 7t-t^{2} }\]

  2. TylerD
    • one year ago
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    try dividing everything by t^2

  3. Zenmo
    • one year ago
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    |dw:1444043607565:dw|

  4. TylerD
    • one year ago
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    \[\frac{ \frac{ \sqrt{t} }{ t^2 }+\frac{ t^2 }{ t^2 } }{ \frac{ 7t }{ t^2 } -\frac{ t^2 }{ t^2 }}\]

  5. TylerD
    • one year ago
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    right

  6. Zenmo
    • one year ago
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    then we just plug in zero?

  7. TylerD
    • one year ago
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    are you taking the limit to infinity or 0?

  8. Zenmo
    • one year ago
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    infinity

  9. TylerD
    • one year ago
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    ya, the you get something like |dw:1444043756559:dw|

  10. TylerD
    • one year ago
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    those terms goto 0, and you get -1

  11. Zenmo
    • one year ago
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    can you show how you gotten the numerator of 1/tln5. I may need a bit refresher in that area.

  12. TylerD
    • one year ago
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    |dw:1444043877047:dw|

  13. TylerD
    • one year ago
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    thats 1.5 not ln5

  14. Zenmo
    • one year ago
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    Last question, what made you choose the value of 0.5?

  15. TylerD
    • one year ago
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    the square root of something means your raising it to the power of 1/2 or 0.5

  16. Zenmo
    • one year ago
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    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?

  17. Zenmo
    • one year ago
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    to get t^1.5

  18. TylerD
    • one year ago
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    |dw:1444044104865:dw|

  19. Zenmo
    • one year ago
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    Ok I see it. Thanks :D

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