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

\int - 6 tan^{2} (x) d x

x^{3} \frac{d y}{d x} + (2 - 3 x^{2}) y = x^{3}

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

\frac{2}{s - 3}

f (x) = x^{2} + 2, (5, 27)

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