Unformatted text preview: solution), but perhaps you could guess what the result ought to be, and see that for this to occur, there must be inﬁnitely 9’s or 0’s in the decimal expansion of 1 / 2 π . In the text, do exercises 1, 5, 6, 9, 11 of section 3.2.3. These Problem 2. Show that the numbers of the form n + m √ 2 is dense in R . This is pretty tricky!...
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 Fall '07
 HUBBARD
 Math, Rational number, 0.999..., ourse measuring angles

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