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

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

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limit as x approaches infinity of 3-f(x)

x \to \infty lim (3 - f (x))

- \infty

Solution steps

x \to \infty lim (3 - f (x))

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

With the exception of indeterminate form

= x \to \infty lim (3) - x \to \infty lim (f (x))

x \to \infty lim (3) = 3

x \to \infty lim (f (x)) = f (\infty)

= 3 - f \cdot \infty

Simplify

3 - f \cdot \infty : - \infty

= - \infty

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(3, 8), (7, - 7)

x \to 3 + lim (1 - x)

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