Use this quick guide to help decide whether an infinite series converges.
It is designed as a study aid for common Calc II convergence tests and patterns.
Quick reminders
If \(\lim_{n \to \infty} a_n \neq 0\), the series diverges immediately.
Alternating series may converge conditionally if terms decrease to 0.
Geometric series converge when \(|r| < 1\).
Factorials and exponentials usually beat polynomials in the long run.