The hardest unit in BC, rebuilt as something you can see. Six interactive tools that turn convergence, Taylor series, and error bounds from symbols on a page into things that move.
Work them in order for a full walkthrough of the unit, or jump straight to whatever's giving you trouble.
What a series even is, and what it means for an infinite sum to "add up." Watch the partial sums climb to a limit — or run off forever — one term at a time.
Nine tests, and the real skill is knowing which to reach for. Meet each test, compare them at a glance, then drill until you can name them on sight.
Stop adding terms — how wrong are you? Watch the error shrink under its guaranteed bound, then master both the alternating-series bound and the dreaded Lagrange error bound.
A power series only converges near its center. See the interval on a number line, find the radius with the ratio test, and nail the endpoint check everyone forgets.
Watch any function get rebuilt out of powers of x, one term at a time — then see where the approximation holds and where it breaks down. Taylor & Maclaurin series, made tangible.
Put it all together the way the real exam does — mixed review first, then full free-response.
You pick the approach: mixed multiple choice across all fifteen topics with deep explanations and a weak-spot finder, plus chained free-response built in the real Question 6 mold.
Begin practicing →From what a series is, through the nine convergence tests and Taylor series, to power-series intervals and error bounds — and a capstone that mixes it all together the way the real exam does. Everything verified, nothing hand-wavy.