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Exercise 1. Define G: R2 → R by G(x, y): = 0, if (x, y) = (0,0); if (x, y) = (0,0). x² + y²¹ 1) Show that G is not continuous at 0 in R².

Exercise 1. Define G: R2 → R by G(x, y): = 0, if (x, y) = (0,0); if (x, y) = (0,0). x² + y²¹ 1) Show that G is not continuous at 0 in R².

Advanced Engineering Mathematics
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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Exercise 1 Part 1
Exercise 1. Define G: R²R by G(x, y) = if (x, y) = (0,0); 0 x²y x² + y² 1) Show that G is not continuous at 0 in R². CUL m2 if (x, y) = (0,0).
Transcribed Image Text:Exercise 1. Define G: R²R by G(x, y) = if (x, y) = (0,0); 0 x²y x² + y² 1) Show that G is not continuous at 0 in R². CUL m2 if (x, y) = (0,0).
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