tn(e-) = { 1/2" for x> "n for r

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.

tn(e-) = {
1/2" for x> "n
for r<rn.
Transcribed Image Text:tn(e-) = { 1/2" for x> "n for r<rn.
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