Proof of Algebraic (Scalar) Limit Theorem for Sequences
Instructions
In the dynamic activity below, provide (or change) the given information about , , and the scalar . Try some different scalar for , and drag the sliders of to see the appropriate term that falls in the -neighborhood of , and the appropriate term that falls in the -neighborhood of .
Reflection Questions
What scalar for can make || falls in the -neighborhood and || falls in the -neighborhood when is greater than the same for and ()? How to prove lim()= with what you have found in this activity?