amyna
  • amyna
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!
Mathematics
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SOLVED
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chestercat
  • chestercat
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amyna
  • amyna
|dw:1444188236013:dw|
amyna
  • amyna
this is a sequence limit
freckles
  • freckles
\[\text{ have you tried using } e^{\ln(y)}=y\]

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amyna
  • amyna
no i dont think its in one of the formulas given
freckles
  • freckles
\[e^{\lim_{n \rightarrow \infty} \ln(n^\frac{1}{n+2}) } \\ e^{ \lim_{n \rightarrow \infty } \frac{1}{n+2} \ln(n)} \\ e^{\lim_{n \rightarrow \infty} \frac{\ln(n)}{n+2}}\]
freckles
  • freckles
do you know how to evaluate the limit that is in the exponent
Michele_Laino
  • Michele_Laino
try this change of variable: \(m=n+2\)
thomas5267
  • thomas5267
I think the limit in the exponent can be solved using L'Hopital rule.

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