Math  /  Calculus

QuestionConsider the series n=11n(n+4)\sum_{n=1}^{\infty} \frac{1}{n(n+4)}
Determine whether the series converges, and if it converges, determine its value. Converges (y/n(\mathrm{y} / \mathrm{n} ): \square Value if convergent (blank otherwise): \square
Note: You can earn partial credit on this problem.

Studdy Solution
The series converges (y), and its value is 2548 \frac{25}{48} .

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