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Mathematics

Limits of Sequences and Series: Convergence Tests Beyond the Ratio Test

Quick fact

The ratio test is inconclusive for many important series, including p-series like Σ 1/n², yet the integral test reveals that p-series converge exactly when p 1.

Why this is interesting

You know the ratio test, but when it fails, what do you do? Find out how other tests step in to decide the fate of an infinite sum.