Why wait until the end of Calculus BC to introduce the Taylor Series?
This packet can easily introduce students to the Taylor Series BEFORE INTEGRALS!
It was designed as a take-home packet, with no assistance from the teacher. It's long, but it is simple, straight-forward, easy to understand.
The end result of the entire packet is 1st, learning the concept of the Taylor Series, and 2, deriving Euler's Formula!