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(Solved): Prove that if \( f(x) \) is continuous at \( x=a \) and \( g(y) \) is continuous at \( y=b \), the ...


Prove that if \( f(x) \) is continuous at \( x=a \) and \( g(y) \) is continuous at \( y=b \), then \( F(x, y)= \) \( f(x) g(

Prove that if \( f(x) \) is continuous at \( x=a \) and \( g(y) \) is continuous at \( y=b \), then \( F(x, y)= \) \( f(x) g(y) \) is continuous at \( (a, b) \).


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The function f is continuous at x = a, therefore, we can sa
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