Let f(a, b) = a/ (b − 1)^2 . a. Describe the domain of f. b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like. c. Show that the limit lim (a,b)→(0,1) f(a, b) does not exist.
Let f(a, b) = a/ (b − 1)^2 . a. Describe the domain of f. b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like. c. Show that the limit lim (a,b)→(0,1) f(a, b) does not exist.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let f(a, b) = a/ (b − 1)^2 .
a. Describe the domain of f.
b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like.
c. Show that the limit lim (a,b)→(0,1) f(a, b) does not exist.
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