In R¹, we had a theorem saying that if a function f [a, b] → R is continuous except at : finitely many points, then f is integrable on [a, b]. Do we have something similar in R"? = To be more precise, let f I→ R be a function defined on a generalized rectangle I [a, b] ... [an, bn] in R" that is continuous on I except for only finitely many points 28 = (x₁,...x), s = 1,..., m. Is f always integrable? Prove it or find a counter example.
In R¹, we had a theorem saying that if a function f [a, b] → R is continuous except at : finitely many points, then f is integrable on [a, b]. Do we have something similar in R"? = To be more precise, let f I→ R be a function defined on a generalized rectangle I [a, b] ... [an, bn] in R" that is continuous on I except for only finitely many points 28 = (x₁,...x), s = 1,..., m. Is f always integrable? Prove it or find a counter example.
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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