tn(e-) = { 1/2" for x> "n for r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let {r1, r2, r3, . . .} be an enumeration of the set of rational numbers. For each rn ∈ Q, define
Now, let h(x) = ∞ n=1 un(x). Prove that h is a monotone function defined on
all of R that is continuous at every irrational point.
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