## 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!

1. amyna

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2. amyna

this is a sequence limit

3. freckles

$\text{ have you tried using } e^{\ln(y)}=y$

4. amyna

no i dont think its in one of the formulas given

5. freckles

$e^{\lim_{n \rightarrow \infty} \ln(n^\frac{1}{n+2}) } \\ e^{ \lim_{n \rightarrow \infty } \frac{1}{n+2} \ln(n)} \\ e^{\lim_{n \rightarrow \infty} \frac{\ln(n)}{n+2}}$

6. freckles

do you know how to evaluate the limit that is in the exponent

7. Michele_Laino

try this change of variable: $$m=n+2$$

8. thomas5267

I think the limit in the exponent can be solved using L'Hopital rule.