R? R? 12- y? 12 + y? if (z, y) # (0,0) (r, y) + if (1, y) = (0,0) • The function f is it continuous on (0,0). • Prove that f is a Borel measurable function.
R? R? 12- y? 12 + y? if (z, y) # (0,0) (r, y) + if (1, y) = (0,0) • The function f is it continuous on (0,0). • Prove that f is a Borel measurable function.
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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Transcribed Image Text:1. Let
R? + R2
12 - y?
if (r, y) # (0,0)
(r, y) +
if (r, y) = (0,0)
• The function f is it continuous on (0,0).
• Prove that f is a Borel measurable function.
2. Prove that the set A : {(r, y) € R², y² sin(x) 2 3}, is a Borel measurable set.
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