12 12By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0).f(х,у) -Examine the values of f along curves that end at (0,0). Along which set of curves is fa constant value?O A. y=kx, x#0O B. y= kx + kx?,x#0O c. y= kx³, x+0O D. y= kx?, x+0If (x,y) approaches (0,0) along the curve when k =1 used in the set of curves found above, what is the limit?(Simplify your answer.)If (x,y) approaches (0,0) along the curve when k = 0 used in the set of curves found above, what is the limit?(Simplify your answer.)What can you conclude?O A. Since f has two different limits along two different paths to (0,0), by the two-path test, f has no limit as (x,y) approaches (0,0).O B. Since f has the same limit along two different paths to (0,0), by the two-path test, f has no limit as (x,y) approaches (0,0).O C. Since f has two different limits along two different paths to (0,0), in cannot be determined whether or not f has a limit as (x,y) approaches (0,0).O D. Since f has the same limit along two different paths to (0,0), in cannot be determined whether or not f has a limit as (x,y) approaches (0,0).

Name: 12 12By considering different paths of approach, show that the functio
Uploaded: 2024-03-20T06:46:14.000Z
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Description: 12 12By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0).f(х,у) -Examine the values of f along curves that end at (0,0). Along which set of curves is fa constant value?O A. y=kx, x#0O B. y= kx + kx?,x#