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Proof of Algebraic (Sum) Limit Theorem for Sequences

Instructions

In the dynamic activity below, provide (or change) the given information about , , , and . Try some different scalar for and , and drag the sliders of to see the appropriate term that falls in the -neighborhood of ().

Reflection Questions

Compare , and , how could you find a sufficient value for the sum sequence , given both and converge? How to prove lim()= with what you have found in this activity?