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

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

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limit as x approaches infinity of 1-2/x

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

1

Solution steps

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

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

x \to \infty lim (1) = 1

x \to \infty lim (\frac{2}{x}) = 0

= 1 - 0

Simplify

= 1

\frac{d}{d x} (\frac{1}{( x + 2 )})

\int \frac{x ^{3}}{e ^{3 x^{4}}} d x

e^{x}, at x = 3

\int_{0}^{1} x^{3} 1 - x^{2} d x

- \frac{2}{3 x ^{2}}

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