Compute the following limit along lines of the form y = mx, for m 0, and along the parabola y= x. What can you conclude? 20ху lim 3 (x,y)-(0,0) X° + yx ..... Along the line y = mx, the limit lim f(x, у) 3D |. Along the parabola y = x, the limit (х, у) — (0, 0) lim f(x, y) =. Therefore lim f(x, у) (X, y) (0, 0) (х, у) — (0, 0)

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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Compute the following limit along lines of the form y = mx, for m 0, and along the parabola y = x. What can
you conclude?
20xy
lim
(x.y)→(0,0) x³ + yx
.....
Along the line y = mx, the limit
lim
f(x, y) =. Along the parabola y = x, the limit
(x, y)→(0, 0)
f(x, y) = |. Therefore
f(x, у)
(х, у) — (0, 0)
lim
lim
(х, у) — (0, 0)
Transcribed Image Text:Compute the following limit along lines of the form y = mx, for m 0, and along the parabola y = x. What can you conclude? 20xy lim (x.y)→(0,0) x³ + yx ..... Along the line y = mx, the limit lim f(x, y) =. Along the parabola y = x, the limit (x, y)→(0, 0) f(x, y) = |. Therefore f(x, у) (х, у) — (0, 0) lim lim (х, у) — (0, 0)
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