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Home  Partial Differentiation Contionuous Functions of Two or More Variables Examples Example 1 |
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Example 1
Show that f(x, y) = 2x + xy2 is continuous for all (a, b). Let st(x) = a and st(y) = b. Then st(2x + xy2) = st(2x) + st(xy2) = 2st(x) + st(x)st(y2) = 2a + ab2.
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Last Update: 2006-11-15