Question

A real valued function f(x, y) is said to be continuous at point (a, b) if

Answer 1

SOLUTION

TO DETERMINE

A real valued function f(x, y) is said to be continuous at point (a, b) if

EVALUATION

A function f(x, y) is said to be continuous at point (a, b) of its domain of definition if

$\displaystyle \sf{\lim_{(x,y) \to (a,b)} \: f(x,y) = f(a,b)}$

In other words a function f(x, y) is said to be continuous at point (a, b) of its domain of definition if for ε > 0 there exists a neighbourhood N of (a, b) such that

| f(x, y) - f(a, b) | < ε for all (x, y) ∈ N

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Answer 2

Answer:

infinity

1

0

not defined