I’m trying to learn for my Mathematics class and I’m stuck. Can you help?Given a function f(x, y) and a point (a, b) in its domain,
define single-variable functions g and h as follows:
8(x) = f (x,b),
h(y) = f(a, y).
If g is continuous at x = a and his continuous at y = b,
does it follow that f is continuous at (a, b)? Conversely,
does the continuity of f at (a, b) guarantee the continuity of
g at a and the continuity of h at b? Justify your answers.
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