What is the limit as x approaches infinity of 6-1/x ?

The limit as x approaches infinity of 6-1/x is 6

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limit as x approaches infinity of 6-1/x

x \to \infty lim (6 - \frac{1}{x})

6

Solution steps

x \to \infty lim (6 - \frac{1}{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 (6) - x \to \infty lim (\frac{1}{x})

x \to \infty lim (6) = 6

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

= 6 - 0

Simplify

= 6

What is the limit as x approaches infinity of 6-1/x ?
The limit as x approaches infinity of 6-1/x is 6