We can use the power of differentiation to introduce a new way to describe functions and to relate it to the ways previously discussed. We first discuss the notions of infinite series, and of convergence, and then use differentiation in this context.
15.1 Infinite Series and Convergence
15.2 Criteria for Convergence
15.3 Criteria for Absolute Convergence
15.4 Divergent Series
15.5 Power Series
15.6 Application of Power Series: Stirling Formula for n!