Intro to Analysis in-class_Part_16

Intro to Analysis in-class_Part_16 - 2.4 Other...

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2.4 Other constructions 37 Proof. Put α = a 1 /n and β = b 1 /n , so that ab = α n β n , by commutativity of mult. The uniqueness part of the previous thm gives ( ab ) 1 /n = αβ = a 1 /n b 1 /n . § 2.3.3 Exercise: #3 Recommended: #7,8 1. If { a n } is an increasing sequence and a n L , show that a n L, n . 2. (a) Between any two rationals, there is another rational.
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Intro to Analysis in-class_Part_16 - 2.4 Other...

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