Calculus II covers a variety of topics related to the convergence and divergence of series, including tests for convergence and divergence, power series, Taylor series, and Fourier series.

Tests for convergence and divergence include the comparison test, limit comparison test, ratio test, root test, integral test, and alternating series test. These tests are used to determine whether a series converges or diverges, and can be applied to both infinite series and series with finite terms.

Power series are a type of infinite series that can be used to represent functions as a sum of powers of a variable. They are commonly used in calculus to approximate functions and solve differential equations.

Taylor series are a type of power series that are used to approximate functions around a specific point. They are commonly used in calculus to find derivatives and integrals of functions.

Fourier series are a type of infinite series that are used to represent periodic functions as a sum of sine and cosine functions. They are commonly used in physics and engineering to analyze and model periodic phenomena.

Overall, the study of convergence and divergence of series and tests is an important part of calculus II and has many practical applications in various fields.