Question

Evaluate the sum: $$ \sum_{n=1}^{\infty} \frac{1}{n(n+1)(n+2)} $$

• A. \( \frac{1}{4} \)
• B. \( \frac{1}{2} \)
• C. \( \frac{1}{6} \)
• D. \( \frac{1}{3} \)

Hint:

Use partial fractions and telescoping series technique to evaluate complex infinite series.