Consider the series C = _ n=1 ^ 1 n(n+2)

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Foundations of mathematical language · Foundations of mathematical language

Mathematical Methods for Physics, Ch Series, limits and controlled approximation

Problem

Consider the series C=∑n=1∞1n(n+2).C = \sum_{n=1}^{\infty} \frac{1}{n(n+2)}. Decide whether this series converges, naming the test used and stating the comparison series explicitly.

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