i showed the relation between the original limit and [xy]/(x^2+y^2) as (x,y)-->(0,0).
numerator factorizes to y(x-1), then i replaced (x-1) with t, and as x→1, t→0. new limit does not exist because it approaches 1/2 and 0.
Homework Statement
The Attempt at a Solution
it does not exist, but i can't get different limits, I am only getting it approaches 0
i replaced x=1 only, y=0 only, y=x, x=y but I'm only getting 0 as my limit.
thanks
i'm just trying to locate them in the textbook, so basically i'd like to know which section they belong in
thanks for the help so far
It would be a good idea to have an index of formulas in textbooks
Homework Statement
Homework Equations
The Attempt at a Solution
I'm trying to rewrite the integral as shown
Most probably a real simple answer
Thank you