What is the limit as x approaches infinity of 5/x-2 ?

The limit as x approaches infinity of 5/x-2 is -2

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limit as x approaches infinity of 5/x-2

x \to \infty lim (\frac{5}{x} - 2)

- 2

Solution steps

x \to \infty lim (\frac{5}{x} - 2)

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{5}{x}) - x \to \infty lim (2)

x \to \infty lim (\frac{5}{x}) = 0

x \to \infty lim (2) = 2

= 0 - 2

Simplify

= - 2

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x \to 2 lim (x (2))

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What is the limit as x approaches infinity of 5/x-2 ?
The limit as x approaches infinity of 5/x-2 is -2