What is the limit as x approaches infinity of 7/x-9 ?

The limit as x approaches infinity of 7/x-9 is -9

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limit as x approaches infinity of 7/x-9

x \to \infty lim (\frac{7}{x} - 9)

- 9

Solution steps

x \to \infty lim (\frac{7}{x} - 9)

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{7}{x}) - x \to \infty lim (9)

x \to \infty lim (\frac{7}{x}) = 0

x \to \infty lim (9) = 9

= 0 - 9

Simplify

= - 9

What is the limit as x approaches infinity of 7/x-9 ?
The limit as x approaches infinity of 7/x-9 is -9