What is the limit as x approaches 1 of [5f(x)+g(x)] ?

The limit as x approaches 1 of [5f(x)+g(x)] is 5f(1)+g(1)

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limit as x approaches 1 of [5f(x)+g(x)]

x \to 1 lim ([5 f (x) + g (x)])

5 f (1) + g (1)

Solution steps

x \to 1 lim (5 f (x) + g (x))

Plug in the value

x = 1

, assuming the function is continuous at this point

= 5 f (1) + g (1)

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What is the limit as x approaches 1 of [5f(x)+g(x)] ?
The limit as x approaches 1 of [5f(x)+g(x)] is 5f(1)+g(1)