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Complex inequality

  1. Nov 3, 2009 #1
    How to prove the following inequality: for complex z such that Re z < 0 :

    [tex]\left| e^z-1\right| < \left| z\right|[/tex] ?
  2. jcsd
  3. Nov 3, 2009 #2
    use the identities




    since both sides of the inequality are positive
    you can square it up
  4. Nov 4, 2009 #3
    What next?
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