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Methods for finding solutions may fail for a variety of reasons:

  • there may not be a solution;
  • there may not be a solution in the relevant domain - for example 2x = 3 has no solution if x must be an integer, but it does have a colution if x is allowed to be a fraction.
  • the method may diverge away from the solution rather than converge towards it.
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Q: When does the methods fail to find the solutions?
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