# My First Nameless Problem

Calculus Level pending

$I=\lim_{n\to \infty} \displaystyle \frac{1}{n^{n+1}} \int_{0}^{n} x^n\cdot \sin x dx+\lim_{n\to 0}\frac{1}{n^{n+1}}\int_{0}^{n}x^n\cdot \sin x dx$

Let $$n=4p$$ such that $$p$$ is a positive integer satisfying the equation above.

Find the value of $$I$$

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