Question

lim x, y tends to 1,1 x^2-2xy+y^2/x-y​

Answer 1

Answer:

z=Lim{(x(1)-1-2x+2)/(x-1)}

Step-by-step explanation:

Lim(x,y)->(1,1) {(xy-y-2x+2)/(x-y)}

Here we are varying both the variables with the limits as both x->1 and y->1

First let us take the limit y->1 then we will get the limit x->1 , let the value of the limit is z

Then

z=Lim Lim{(xy-y-2x+2)/(x-y)}

x->1 y->1

z=Lim{(x(1)-1-2x+2)/(x-1)}