# Inspired by Paul Patawaran

Calculus Level 4

$\large\displaystyle\sum_{n=1}^{\infty} \frac{1}{n(n+1)(n+1)!} = \, ?$


Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

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