What is the limit as x approaches a of [f(x)g(x)] ?

The limit as x approaches a of [f(x)g(x)] is f(a)g(a)

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limit as x approaches a of [f(x)g(x)]

x \to a lim ([f (x) g (x)])

f (a) g (a)

Solution steps

x \to a lim (f (x) g (x))

Plug in the value

x = a

, assuming the function is continuous at this point

= f (a) g (a)

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What is the limit as x approaches a of [f(x)g(x)] ?
The limit as x approaches a of [f(x)g(x)] is f(a)g(a)