Alternating Series Test Example: Worked Example and Solution
A complete course synthesis example with method choice, derivation, verification, and a common wrong approach.
1 problem8 min estimated timeCumulative progression
What is included
See a concise answer and full derivation for test \(\sum(-1)^{n-1}/n\).
Skills assessed
- Course synthesis
Prerequisites
- Calculus II Units 3B through 4B
Printable preview
- Test .
Complete worked solutions
Every problem has a source-matched answer and independently reviewed derivation.
01
Problem 1: Test .
Answer:
Why this method: Course synthesis matches the mathematical structure before any algebraic cleanup.
- AST applies; harmonic absolute series diverges.
- The verified result is .
Common errors
- Selecting a familiar formula without checking its hypotheses.