What is the limit as x approaches infinity of 4/x-12 ?

The limit as x approaches infinity of 4/x-12 is -12

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limit as x approaches infinity of 4/x-12

x \to \infty lim (\frac{4}{x} - 12)

- 12

Solution steps

x \to \infty lim (\frac{4}{x} - 12)

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 (\frac{4}{x}) - x \to \infty lim (12)

x \to \infty lim (\frac{4}{x}) = 0

x \to \infty lim (12) = 12

= 0 - 12

Simplify

= - 12

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What is the limit as x approaches infinity of 4/x-12 ?
The limit as x approaches infinity of 4/x-12 is -12