# A calculus problem by jatin yadav

Calculus Level 3

If $$\displaystyle \lim_{n \to \infty} \sum_{k=1}^{n} \ln \bigg(1+ \frac{k^{80}}{n^{81}} \bigg)$$ equals $$p$$. Then , find the value of $$\frac{1}{p}$$

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