What is the limit as x approaches infinity of 9/x-1 ?

The limit as x approaches infinity of 9/x-1 is -1

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limit as x approaches infinity of 9/x-1

x \to \infty lim (\frac{9}{x} - 1)

- 1

Solution steps

x \to \infty lim (\frac{9}{x} - 1)

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{9}{x}) - x \to \infty lim (1)

x \to \infty lim (\frac{9}{x}) = 0

x \to \infty lim (1) = 1

= 0 - 1

Simplify

= - 1

f (x) = \frac{6 x ^{5} + 4 x}{x ^{4} + 3}

\int (2 x - 3) d x

\int cot^{5} (4 x) d x

\frac{1}{16 + x ^{2}}

n = 1 \sum \infty (\frac{4}{10})^{n}

What is the limit as x approaches infinity of 9/x-1 ?
The limit as x approaches infinity of 9/x-1 is -1