M Let g(x):= 0 if x = [0, 1] is rational and g(x) = 1/x if x = [0, 1] is irrational. Explain why 8 R[0, 1]. However, show that there exists a sequence (P) of tagged partitions of [a, b] such that ||P|| → 0 and lim, S(g; Pn) exists. 1
M Let g(x):= 0 if x = [0, 1] is rational and g(x) = 1/x if x = [0, 1] is irrational. Explain why 8 R[0, 1]. However, show that there exists a sequence (P) of tagged partitions of [a, b] such that ||P|| → 0 and lim, S(g; Pn) exists. 1
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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![). Let g(x):= 0 if x = [0, 1] is rational and g(x) = 1/x if x = [0, 1] is irrational. Explain why
g & R[0, 1]. However, show that there exists a sequence (P) of tagged partitions of [a, b] such
that ||P||0 and lim,, S(g; P,) exists.
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F187c9c05-80a4-43d5-ba96-31fa70282ddd%2F29a36a61-2abb-4b4c-ab62-52665f08e740%2Fxvn5bmb_processed.png&w=3840&q=75)
Transcribed Image Text:). Let g(x):= 0 if x = [0, 1] is rational and g(x) = 1/x if x = [0, 1] is irrational. Explain why
g & R[0, 1]. However, show that there exists a sequence (P) of tagged partitions of [a, b] such
that ||P||0 and lim,, S(g; P,) exists.
-
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