We want to study if the following limit exists. (a) b) lim (z,y)+(0,0) Compute the limit along every straight line passing through (0,0). Are all the limits along lines equal or not equal? What is the conclusion in each of these two cases? c) What else is needed to finish the problem? Do it and show all your work. -7r* tan(y) + y²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
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3. We want to study if the following limit exists.
(a)
(b)
lim
(z,y) → (0,0)
Compute the limit along every straight line passing through (0,0).
Are all the limits along lines equal or not equal? What is the conclusion
in each of these two cases?
(c)
What else is needed to finish the problem? Do it and show all your
work.
-7x* tan(y)
x² + y²
Transcribed Image Text:3. We want to study if the following limit exists. (a) (b) lim (z,y) → (0,0) Compute the limit along every straight line passing through (0,0). Are all the limits along lines equal or not equal? What is the conclusion in each of these two cases? (c) What else is needed to finish the problem? Do it and show all your work. -7x* tan(y) x² + y²
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