Limit of sin(x^2 + y^2)/(x^2 + y^2) using Polar Coordinates and L'Hopital's Rule

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Limit of sin(x^2 + y^2)/(x^2 + y^2) using Polar Coordinates and L'Hopital's Rule
  1. The Math Sorcerer
  2. L'Hôpital's Rule
  3. Limit
  4. Polar Coordinate System
  5. Sine
  6. Calculus (Field Of Study)
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Комментарии
Автор

So the trick was that r^2=x^2+y^2... Great and efficient explanation! Thanks

alexcodema
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So efficient! learning us this in under 2 minutes!

YB
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Can you calculate this limit without polar coordinates?

degenerationz
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On break and still going' ham.. Good man!

vedgsesh
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What happen if x and y are too general that can’t map to the polar coordinates?

ToanLe-njiu
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Hey . How should i approach limit of when x goes to 0 and y goes to 0

notAlexanderOFF
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if I have this case: lim (x, y)->(1, 1) sin(x^2-y^2)/(x-y) what is the correct procedure in order to obtain 2??

nachoman
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My problem is similar is Limit sen(x^2+y^2+z^2)/x^2+y^2+z^2 in (x, y, z) a 0

fernandolopez-dzui
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How to evaluate lim (x, y) tends to (0, 0) xsin(x^2+y^2)/(x^2+y^2) ? Please help...

bhaskardas