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Calculus Michael Spivak 3th Edition Pag 42 Rational Function

  1. Feb 24, 2015 #1
    Pag 42 says:

    Seems inconsistent.
    in (9):
    p = x +x²+x.sin²x
    q = x.sin x + x.sin²x
    But by definition p and q are not polynomial functions.

    It is a mistake in the book?
  2. jcsd
  3. Feb 24, 2015 #2


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    Gold Member

    Ah but did it say these were rational functions ? Read again : )
  4. Feb 24, 2015 #3
    You are right. Misinterpreted.
    Thank you.
  5. Feb 24, 2015 #4


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    Science Advisor

    For those who don't quite get it- and it took me a moment- the text says "The rational functions are quite special examples of an even larger class of functions". The examples given are examples of that "even larger class of functions" that includes the rational functions but are not rational functions themselves.
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