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Rational functions

  1. Jun 10, 2009 #1
    Hi all.

    I have always wondered: If we e.g. look at functions given by

    f(x) = \frac{\cos x}{x^2}, \quad g(x) = \frac{\sin x}{x^2}, \quad h(x) = \frac{\exp x}{x^2},
    then does the degree of the denominator exceed the degree of the nominator by 1 or by 2?
  2. jcsd
  3. Jun 10, 2009 #2
    These are not rational functions. The numerator could be assigned a degree of infinity as they are analytic functions that are not polynomials.
  4. Jun 10, 2009 #3
    Thank you.
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