By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). x4 42. f(x, y) = х 41. f(x, y) VP + y² x* + y? y2 xy 44. f(x, y) = |xy| 43. f(x, y) = x* + y? x2 46. g(x, y) = х — у 45. g(x, y) = х — у x + y xy 47. h(x, y) 48. h(x, y) x* + y?

By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). x4 42. f(x, y) = х 41. f(x, y) VP + y² x* + y? y2 xy 44. f(x, y) = |xy| 43. f(x, y) = x* + y? x2 46. g(x, y) = х — у 45. g(x, y) = х — у x + y xy 47. h(x, y) 48. h(x, y) x* + y?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

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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