(x^2*(y-1)^2)/(x^2+(y-1)^2) for (x,y) at (0,1)

Answered Same DayDec 21, 2021

Answer To: (x^2*(y-1)^2)/(x^2+(y-1)^2) for (x,y) at (0,1)

David answered on Dec 21 2021

132 Votes

We wish to evaluate the following limit:

   
 
 
22
22, 0,1
1
lim .
1x y
x y
L

x y
 
  
   
We claim that 0.L  To see this, we must show that for all 0,  there exists 0  such that if
 
22 1x y    then

 
 
22
22
1
.
1
x y
x...

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(x^2*(y-1)^2)/(x^2+(y-1)^2) for (x,y) at (0,1)

Answer To: (x^2*(y-1)^2)/(x^2+(y-1)^2) for (x,y) at (0,1)

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