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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