Question

 Using polar coordinates, show that equation. Also, find the two repeated limits.

09 Jan 2026
Answer :
Word Count : 228
Let ( f(x, y) = \frac{x^3 - y^3}{x^2 + y^2} ). To examine the limit as ((x, y) \to (0, 0)) using polar coordinates, set [ x = r \cos\theta, \quad y = r \sin\theta, \quad r \ge _____ _________ _____ ___ _____ __________.
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