This calculus 2 video tutorial explains how to find a power series representation of a function by differentiation. It also explains how to find the radius of convergence and interval of convergence for such a power series based on the convergence of the original geometric power series. It explains how to check the endpoints for convergence using the divergence test and the alternating series test. Series Tests - Practice Problems: Taylor & Maclaurin Polynomials: Taylor's Remainder Theorem: Power Series - Interval Convergence: Power Series - Derivatives & Integrals: ___________________________________ Power Series - Function Representation: Finding The Power Series: Power Series - Representation By Integration: Power Series - Representation By Natural Logs: Taylor & Maclaurin Series: Binomial Series: ____________________________________ Parametric Equations: Calculus Final Exam and Video Playlists: Full-Length Videos and Worksheets: