Lesson pack
Series pack
A BC series unit is coefficients from derivatives, which test applies, and the interval the ratio test leaves. These three widgets cover that on one page.
Copy each snippet onto one class page. The front door is widgets. Host steps: Google Sites. Classroom notes: teachers.
Taylor series builder
Pick a function, a center, and a degree, then watch each derivative turn into a coefficient and the Taylor polynomial close in on the curve. AP Calculus BC.
Convergence test chooser
Walk the convergence decision tree test by test: nth-term, geometric, p-series, alternating, ratio, comparison, integral, and see why each one fits or fails.
Interval of convergence
Find a power series interval of convergence: the ratio test gives the radius, then test each endpoint on its own. AP Calculus BC, Topic 10.13.