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Answer :
Final answer:
The limit as (x, y) approaches (a, b) of the product of functions f(x, y) and g(x, y) can be found by taking the product of the limits of f(x, y) and g(x, y), which is 7 * -9 = -63.
Explanation:
In the question, you're asked to find the limit as (x, y) approaches (a, b) of the product of functions f(x, y) and g(x, y). You're given that the limit as (x, y) approaches (a, b) of f(x, y) is 7, and the limit as (x, y) approaches (a, b) of g(x, y) is -9.
The product of the limits of two functions is equal to the limit of the product of the functions. Therefore, the limit as (x, y) approaches (a, b) of f(x, y) * g(x, y) is equal to the product of the limits of f(x, y) and g(x, y). That is, (7) * (-9)
This gives us the result of -63.
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