What is the limit as n approaches infinity of 3+1/n ?

The limit as n approaches infinity of 3+1/n is 3

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limit as n approaches infinity of 3+1/n

n \to \infty lim (3 + \frac{1}{n})

3

Solution steps

n \to \infty lim (3 + \frac{1}{n})

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

= n \to \infty lim (3) + n \to \infty lim (\frac{1}{n})

n \to \infty lim (3) = 3

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

= 3 + 0

Simplify

= 3

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What is the limit as n approaches infinity of 3+1/n ?
The limit as n approaches infinity of 3+1/n is 3