What is the limit as x approaches infinity of 6/x-8 ?

The limit as x approaches infinity of 6/x-8 is -8

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limit as x approaches infinity of 6/x-8

x \to \infty lim (\frac{6}{x} - 8)

- 8

Solution steps

x \to \infty lim (\frac{6}{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{6}{x}) - x \to \infty lim (8)

x \to \infty lim (\frac{6}{x}) = 0

x \to \infty lim (8) = 8

= 0 - 8

Simplify

= - 8

x \to \infty lim (0.8 x)

x \to 0 lim ((x^{3} - 3) (x + 2))

x \to 0 lim (sin^{2} (\frac{x}{2}))

x \to 2 lim (3 x^{2} \cdot 2 x)

h \to 0 lim (2 x + h - 1)

What is the limit as x approaches infinity of 6/x-8 ?
The limit as x approaches infinity of 6/x-8 is -8