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Dear F. Hilton, I think I found a nice example here: http://www.karlscalculus.org/calc2_2.html I know the point of this example told in story format is to informally prove that "the sum of the limits is always equal to the limit of the sum" but the story itself might provide some ideas of how to present your topic to your students. I hope this helps. -Suzanne A., for the T2T service
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