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Example of Proof of Convergence for Sequences: Exact vs Approximate error-bound

Instructions

In the dynamic activity below, provide (or change) specific given information, and drag the sliders to explore the exact and the approximate error-bound for the sequence. You can show or hide the exact error , the approximate error , and the terms after .

Reflection Questions

1) What difference does it make when selecting N based on the exact error, , and on the approximate error bound, , in terms of ?