What is the limit as x approaches infinity of 1/x-2 ?

The limit as x approaches infinity of 1/x-2 is -2

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limit as x approaches infinity of 1/x-2

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

- 2

Solution steps

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

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 (2)

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

x \to \infty lim (2) = 2

= 0 - 2

Simplify

= - 2

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

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

\frac{\partial}{\partial x} ((- x^{2} + 3)^{2})

x \to 0 + lim (\frac{e ^{- x} - 1}{x})

x \to 0 + lim ((x + e^{x})^{\frac{1}{x}})

What is the limit as x approaches infinity of 1/x-2 ?
The limit as x approaches infinity of 1/x-2 is -2