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Proof of Convergence for Sequences

Instructions

In the dynamic activity below, provide (or change) specific given information, and drag the sliders to explore convergence for sequences. First for certain sequence , provide a claim on what value the sequence is convergent to as . Based on the you provided and the specific value of , identify the appropriate term that works.

Reflection Questions

For a given value of , how could you determine a sufficient value of for the sequence ? In general what is the value of as a function of ?