By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). х 41. f(x, y) = - 42. f(x, y) = V + x* + y? x4 43. f(x, y) y2 ху 44. f(x, y) = |xy| x* + y? x² – 46. g(x, y) = х — у y 45. g(x, y) = x + y х — у 47. h(x, y) x? + y x²y 48. h(х, у) 3 x* + y?
By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) → (0, 0). х 41. f(x, y) = - 42. f(x, y) = V + x* + y? x4 43. f(x, y) y2 ху 44. f(x, y) = |xy| x* + y? x² – 46. g(x, y) = х — у y 45. g(x, y) = x + y х — у 47. h(x, y) x? + y x²y 48. h(х, у) 3 x* + 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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