2 Variable Continuity

Calculus Level 3

Suppose that \( f(x,y) \) satisfies the following conditions:

  • For all \( X \), the function \( f( X, y ) \) is continuous in \(y \).
  • For all \( Y \), the function \( f ( x, Y) \) is continuous in \(x \).

Must the function \( f(x,y) \) be continuous?

×

Problem Loading...

Note Loading...

Set Loading...