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amyna

  • one year ago

find the limit: n^(1/(n+2)) i think there is a formula to use, but i have no idea where to even start with this problem!

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  1. amyna
    • one year ago
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    |dw:1444188236013:dw|

  2. amyna
    • one year ago
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    this is a sequence limit

  3. freckles
    • one year ago
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    \[\text{ have you tried using } e^{\ln(y)}=y\]

  4. amyna
    • one year ago
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    no i dont think its in one of the formulas given

  5. freckles
    • one year ago
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    \[e^{\lim_{n \rightarrow \infty} \ln(n^\frac{1}{n+2}) } \\ e^{ \lim_{n \rightarrow \infty } \frac{1}{n+2} \ln(n)} \\ e^{\lim_{n \rightarrow \infty} \frac{\ln(n)}{n+2}}\]

  6. freckles
    • one year ago
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    do you know how to evaluate the limit that is in the exponent

  7. Michele_Laino
    • one year ago
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    try this change of variable: \(m=n+2\)

  8. thomas5267
    • one year ago
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    I think the limit in the exponent can be solved using L'Hopital rule.

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