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

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

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limit as x approaches infinity of-1/x-1

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

- 1

Solution steps

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

x \to \infty lim (\frac{1}{x}) = 0

x \to \infty lim (1) = 1

= - 0 - 1

Simplify

= - 1

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

x \to 0 lim (arctan (x) - x)

x \to \infty lim (\frac{x ^{2} ln ( x )}{x ^{2.01}})

x \to 2 lim (\frac{3 x + 2}{x - 1})

x \to 0 lim (x csc (6 x))

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