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

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

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limit as x approaches infinity of 2+1/x

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

2

Solution steps

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

x \to \infty lim (2) = 2

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

= 2 + 0

Simplify

= 2

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