Calculus 14.2 Limits and Continuity

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Calculus: Early Transcendentals 8th Edition by James Stewart
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On example 4, why did you choose sqrt(x^2+y^2) to be in the squeeze theorem?

mariocerecer
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sir in example 7 (x^2-Y^2)/(x^2+Y^2) it is clearly given that the limit of the function as (x, y) tends to (0, 0) is 0 then why its limit do not exist ??

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