Question

I am stuck trying to solve an indeterminate limit, lim (x,y) -> (1,1) of (x^2 - y^2) / (x - y) , how do you solve these type of limits ?

Answer 1

I would factor the numerator
\[ \frac{(x+y)(x-y)}{(x-y) } \]
as long as x≠y (though they are both allowed to approach as close to 1 as you like), we can simplify to
(x+y), and that expression approaches 1+1= 2

Answer 2

Thank you phi.

Answer 3

how is to learn partial differences