What is the limit as x approaches infinity of 8/x-8 ?

The limit as x approaches infinity of 8/x-8 is -8

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limit as x approaches infinity of 8/x-8

x \to \infty lim (\frac{8}{x} - 8)

- 8

Solution steps

x \to \infty lim (\frac{8}{x} - 8)

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{8}{x}) - x \to \infty lim (8)

x \to \infty lim (\frac{8}{x}) = 0

x \to \infty lim (8) = 8

= 0 - 8

Simplify

= - 8

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What is the limit as x approaches infinity of 8/x-8 ?
The limit as x approaches infinity of 8/x-8 is -8