Convergence Test Advisor
Pick your series' form — the advisor selects the right test, applies it with the complete logic, and backs the verdict with numeric evidence. Covers §5.26–5.31.
Series Σ aₙ
Examples: 1/x^2, 3^x/(x!→ use exp/gamma-free forms), x/(x^2+1), 1/(2^x)
Test-choosing heuristics the advisor encodes: powers of n → p-series or comparison; a fixed ratio between terms → geometric; factorials or n-th powers → ratio test; (−1)ⁿ signs → alternating series test; and always check the nth-term test first — if aₙ ↛ 0, nothing else matters.