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Writing the sum of a series as a function of x

  1. Jan 4, 2010 #1
    1. The problem statement, all variables and given/known data
    Find all the values for which the series (where n=1 to infinity) [tex]\sum((2x-3)/5)^n[/tex] converges. For these values of x, write the sum of the series as a function of x in simplified form.

    Please Please help!!!
     
  2. jcsd
  3. Jan 4, 2010 #2
    this is just a geometric series. remember [tex]\sum_{n=0}^{\infty} y^n[/tex] coverges iff |y|<1.
     
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