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Rate and Order of Convergence

  1. Mar 26, 2012 #1
    1. The problem statement, all variables and given/known data
    Give an example of a sequence which converges to 3 with order of convergence 5. Prove your answer.

    2. Relevant equations
    Order of convergence: {pn} converges to p with order [itex]\alpha[/itex].

    limn[itex]\rightarrow\infty[/itex] |pn+1 - p|/|pn-p|[itex]\alpha[/itex] = [itex]\lambda[/itex]

    3. The attempt at a solution
    limn[itex]\rightarrow\infty[/itex]| pn+1 - 3|/|pn-3|5 = [itex]\lambda[/itex]
  2. jcsd
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