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