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Visualizing The Direct Comparison Test for Infinite Series

Why Are We Doing This?. To make Calculus students suffer!!! Just kidding! :)Actually, Convergence and Divergence of Infinite Series is a pretty tough cookie for many calculus students. This is because...There's lots of different tests for convergence and divergenceIt's hard to understand what e

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Visualizing The Direct Comparison Test for Infinite Series

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    1. Visualizing The Direct Comparison Test for Infinite Series A Presentation by Pablito Delgado Sponsored by the Center for Academic Program Support (CAPS) University of New Mexico

    2. Why Are We Doing This? To make Calculus students suffer!!! Just kidding! :) Actually, Convergence and Divergence of Infinite Series is a pretty tough cookie for many calculus students. This is because... Theres lots of different tests for convergence and divergence Its hard to understand what each of these tests mean and how to use them. This presentation shows a new way to visualize how The Direct Comparison Test works with Infinite Series by using an analogy which (we hope) is easy to understand... ENJOY! :)

    3. Just to refresh your memory... A sequence is just a list of numbers: Ex: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, etc... Ex: 129437, 2, 13, 9859, 487, 12, 84, 7437, etc... A series is the addition of a list of numbers: Ex: 2+4+6+8+10+12+14+16+18+20+22+24+etc... Ex: 129437+2+13+9859+487+12+84+7437+etc... We usually write a series like this: where is a list of numbers (sequence)

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