Calculus Michael Spivak 3th Edition Pag 42 Rational Function

[xorg]

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?

 

[wabbit]

Ah but did it say these were rational functions ? Read again : )

 

[xorg]

Ah but did it say these were rational functions ? Read again : )

You are right. Misinterpreted.
Thank you.

 

[HallsofIvy]

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.