Exercises 49–53 involve Definition 2.2 of the limit.
(a) If a and b are any real numbers, show that 2|ab| ≤ a2 + b2.
(b) Let
Use part (a) to show that if 0<||(x, y)||<δ, then | f (x, y)| < δ2/2.
(c) Prove that lim(x,y)→(0,0) f (x, y) exists, and find its value.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.