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Limit question

  1. May 21, 2016 #1
    • Member warned that the homework template is required
  2. jcsd
  3. May 21, 2016 #2


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    It's almost right. The only problem is that ##k## may be negative. So multiplying the inequality by ##k## will change direction of the inequality, which will prevent reaching the conclusion.

    Two ways to get around this are:

    1. Do three separate cases, for k positive, negative and zero respectively; or
    2. Multiply by ##|k|## instead.

    2 is quicker, but you'll need to insert a few careful steps around where you multiply by ##|k|## to ensure that each one is valid.
  4. May 21, 2016 #3
    Thank you very much!
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