NETMaths
The bookUnit 1 · The Real Line4 / 83

Series: comparison, ratio, root, Raabe, condensation, alternating, rearrangements

Why this is asked: Know which test to reach for in 10 seconds, the limsup forms, and the three classic traps: conditional vs absolute convergence, rearrangements (Riemann), and 'terms → 0 does not imply convergence'.

Series tests — decision tree and the trap list

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Choosing a convergence test without wasting timeinteractive

Which test to reach for, in what order, and the family where ratio and root both return 1.

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Which of the following series converge?

Next: Continuity, uniform continuity, Lipschitz

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Open this in the full syllabus view · Unit 1