Calculus › Section J · Infinite series › Topic J.4
Comparison tests
A series that is not quite a p-series is usually almost one. Comparison tests line an unknown series up against a known benchmark and let the verdict transfer, with no need to sum anything.
In this topic
- The idea: measure against a benchmark
- The comparison test
- Worked example: two direct comparisons
- The limit comparison test
- Worked example: when direct comparison gets stuck
- Choosing between the two tests
- Geometric benchmarks too
- Common mistakes to avoid
- Key takeaways
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Standards: 10 (BC)