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Solving Multivariable Limits: Evaluating $\lim_{(x,y) \to (0,0)}\frac{x-y}{x+y}$
So, to make sure I understand. When x -> 0 while y = 0, the limit equals 1. When y -> 0 while x = 0, the limit equals -1. Therefore, the limit does not exist. Am I correct? I appreciate your help.- spacefreak
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- Forum: Calculus and Beyond Homework Help
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Solving Multivariable Limits: Evaluating $\lim_{(x,y) \to (0,0)}\frac{x-y}{x+y}$
Homework Statement Evaluate the following limit or give a reason explaining why the limit does not exist. \lim_{(x,y) \to (0,0)}\frac{x-y}{x+y} Homework Equations x = r*\cos\theta y = r*\sin\theta The Attempt at a Solution \lim_{r \to...- spacefreak
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- Limits Multivariable
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- Forum: Calculus and Beyond Homework Help