What is the limit as x approaches 2 of 2f(x)-3g(x) ?

The limit as x approaches 2 of 2f(x)-3g(x) is 2f(2)-3g(2)

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limit as x approaches 2 of 2f(x)-3g(x)

x \to 2 lim (2 f (x) - 3 g (x))

2 f (2) - 3 g (2)

Solution steps

x \to 2 lim (2 f (x) - 3 g (x))

Plug in the value

x = 2

, assuming the function is continuous at this point

= 2 f (2) - 3 g (2)

x \to 1 lim (\frac{4}{x + 1})

x \to 0 lim (cos^{\frac{1}{x}} (3 x))

x \to - \frac{1}{2} lim (e^{x})

x \to 0 + lim (3 x ln (\frac{1}{x}))

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

What is the limit as x approaches 2 of 2f(x)-3g(x) ?
The limit as x approaches 2 of 2f(x)-3g(x) is 2f(2)-3g(2)