CalcNotes0207-page7

CalcNotes0207-page7 - (Section 2.7: Precise Definitions of...

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(Section 2.7: Precise Definitions of Limits) 2.7.7 Assuming ± is fixed > 0 () , find an appropriate value for . Assume that is a fixed positive real constant. We will find a value for that corresponds to a “symmetric punctured interval” about a = 4 that is “winning,” meaning that all of the following statements are true for every player x in that interval: fx ± L < ² ³ 1 2 x ± 4 < by * ³ x ± 4 < 2 We choose = 2 . We will formally justify this choice in our verification step. Observe that, since > 0 , then our > 0 . Verify that our choice for
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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