What is the limit as x approaches infinity of 5/x-4 ?

The limit as x approaches infinity of 5/x-4 is -4

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limit as x approaches infinity of 5/x-4

x \to \infty lim (\frac{5}{x} - 4)

- 4

Solution steps

x \to \infty lim (\frac{5}{x} - 4)

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 (4)

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

x \to \infty lim (4) = 4

= 0 - 4

Simplify

= - 4

What is the limit as x approaches infinity of 5/x-4 ?
The limit as x approaches infinity of 5/x-4 is -4