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Thread: Limit problem

  1. #1
    Sep 2009

    Limit problem

    How close to -2 do we have to take x so that the following inequality is satisfied? (Give the largest possible value.)
    | x - (-2) | <_____

    I'm not really sure how to set up this problem and whenever I just guess at numbers I end up with results that do not satisfy the inequality. This question is from a section where we are dealing with lower case delta and epsilon to find limits.

    Thanks for your help
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  2. #2
    MHF Contributor Calculus26's Avatar
    Mar 2009
    1/(x+2)^6 > 10^6

    (x+2)^6 < 10^(-6)

    then x+2 < 10^(-1)

    yo have to be within .1
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