What is the limit as x approaches-2 of [f(x)+5g(x)] ?

The limit as x approaches-2 of [f(x)+5g(x)] is f((-2))+5g((-2))

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limit as x approaches-2 of [f(x)+5g(x)]

x \to - 2 lim ([f (x) + 5 g (x)])

f ((- 2)) + 5 g ((- 2))

Solution steps

x \to - 2 lim (f (x) + 5 g (x))

Plug in the value

x = - 2

, assuming the function is continuous at this point

= f ((- 2)) + 5 g ((- 2))

x \to 0 lim (\frac{ln ( \frac{1}{x} )}{x})

x \to a lim ((x^{2}) + a^{2})

x \to 0 lim (\frac{x + 4}{x ^{2}})

x \to 1 lim (3 x^{3})

x \to 0 + lim ((- 3 ln (x))^{x})

What is the limit as x approaches-2 of [f(x)+5g(x)] ?
The limit as x approaches-2 of [f(x)+5g(x)] is f((-2))+5g((-2))