In this exercise you will conclude that a limit does not exist by computing the limiting using two different directions and obtaining two different answers. We are interested in the limit x¹y4 lim (x,y) →(0,0) (x² + y4)³ (A) Find the limit along the curve y = 0 : ANSWER (B) Find the limit along the parabola y = √√ ANSWER

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
Section3.1: Limits
Problem 61E
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In this exercise you will conclude that a limit does not exist by computing the limiting
using two different directions and obtaining two different answers.
x¹y¹
(x,y) →(0,0) (x² + y4)³
We are interested in the limit lim
(A) Find the limit along the curve y
(B) Find the limit along the parabola y = √√√ : ANSWER
= 0 : ANSWER
Transcribed Image Text:In this exercise you will conclude that a limit does not exist by computing the limiting using two different directions and obtaining two different answers. x¹y¹ (x,y) →(0,0) (x² + y4)³ We are interested in the limit lim (A) Find the limit along the curve y (B) Find the limit along the parabola y = √√√ : ANSWER = 0 : ANSWER
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