What is the limit as x approaches c of f(x)g(x) ?

The limit as x approaches c of f(x)g(x) is f(c)g(c)

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limit as x approaches c of f(x)g(x)

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

f (c) g (c)

Solution steps

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

Plug in the value

x = c

, assuming the function is continuous at this point

= f (c) g (c)

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What is the limit as x approaches c of f(x)g(x) ?
The limit as x approaches c of f(x)g(x) is f(c)g(c)