What is the limit as x approaches infinity of 2/x-10 ?

The limit as x approaches infinity of 2/x-10 is -10

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limit as x approaches infinity of 2/x-10

x \to \infty lim (\frac{2}{x} - 10)

- 10

Solution steps

x \to \infty lim (\frac{2}{x} - 10)

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{2}{x}) - x \to \infty lim (10)

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

x \to \infty lim (10) = 10

= 0 - 10

Simplify

= - 10

x \to 3 + lim ((3 x - 10) + x)

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

t \to 0 lim (\frac{1}{t - 3})

x \to - 2 lim (x - 4)

x \to 1 lim (f (x) (5 - x))

What is the limit as x approaches infinity of 2/x-10 ?
The limit as x approaches infinity of 2/x-10 is -10