Using the delta-epsilon definition of the limit -- solve this problem, please!
Show that there exists a d>0, such that f has a limit at (0,0). Find the value of d.
f(x,y) = (x + y)/(x2 + 1) ; e = 0.01
Answer: d = 0.005
(Problem number 63, exercise, 12.2 from Calculus (9th edition by Thomas and Finney.)
Show that there exists a d>0, such that f has a limit at (0,0). Find the value of d.
f(x,y) = (x + y)/(x2 + 1) ; e = 0.01
Answer: d = 0.005
(Problem number 63, exercise, 12.2 from Calculus (9th edition by Thomas and Finney.)