Infinite Series and Calculus Applications - P Sattam

Sequences & Series Basics: Limits of sequences, geometric series, and \(p\)-series.Convergence Tests: Divergence test, Integral, Comparison, Ratio, Root, and Alternating Series tests.Power Series: Finding the radius and interval of convergence, testing endpoints, and term-by-term differentiation/integration.Taylor & Maclaurin Series: Generating polynomial approximations for functions (\(e^{x}\), \(\sin x\), \(\cos x\), \(\ln x\)), Lagrange error bounds, and applications in evaluating complex integrals.