Use-the-definition-of-the-limit-of-a-function-to-prove-that-lim-x-y-0-0-x-4-y-4-x-2-y-2-0-

Question Number 4596 by Yozzii last updated on 10/Feb/16

U s e t h e d e f i n i t i o n o f t h e l i m i t o f a f u n c t i o n

t o p r o v e t h a t \lim_{(x, y) \to (0, 0)} \frac{x^{4} + y^{4}}{x^{2} + y^{2}} = 0 .