- #1
patata
- 10
- 0
Like many people on this forum, i am seemingly having a lot of trouble grasping the concepts of Epsilon Delta proofs and the logic behind them. I have read the definition and i realize for e>0 there is a d>0 such that...
0<sqrt((x-1)^2 - (y-b)^2) < d then f(x,y) - L <e (excuse my use of proper symbols on this forum...i don't know how!)
The textbook has an example lim (x,y) -> (0,0) x^2y/x^2 + y^2 but i am completely oblivious to how they arrive to the conclusion that the limit equals 0!
I can follow it until 0<sqrt(x^2 + y^2)<d then | f(x,y) - 0 | < e but after that my eyes glaze over and I am lost no matter how many times i read it. If anybody could walk me through the process of finding these limits, i would greatly appreciate it.
As a side note, i tried reading other threads for help and attempted to convert the questions i tried into polar coordinates but i still couldn't seem to get the right answers doing that =( thanks!
0<sqrt((x-1)^2 - (y-b)^2) < d then f(x,y) - L <e (excuse my use of proper symbols on this forum...i don't know how!)
The textbook has an example lim (x,y) -> (0,0) x^2y/x^2 + y^2 but i am completely oblivious to how they arrive to the conclusion that the limit equals 0!
I can follow it until 0<sqrt(x^2 + y^2)<d then | f(x,y) - 0 | < e but after that my eyes glaze over and I am lost no matter how many times i read it. If anybody could walk me through the process of finding these limits, i would greatly appreciate it.
As a side note, i tried reading other threads for help and attempted to convert the questions i tried into polar coordinates but i still couldn't seem to get the right answers doing that =( thanks!