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Convergent or Divergent?

  1. Oct 27, 2008 #1
    If a power series, [tex]\sum[/tex]c(subk)*x[tex]^{k}[/tex] diverges at x=-2, then it diverges at x=-3. True or False?

    I said true, but was confused by my reasoning. Does anyone have any suggestions?
  2. jcsd
  3. Oct 27, 2008 #2


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    Think about 'radius of convergence'.
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