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

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

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limit as n approaches infinity of 2+1/n

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

2

Solution steps

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

n \to \infty lim (2) = 2

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

= 2 + 0

Simplify

= 2

0 \to 0 lim (\frac{sin ( 0 )}{0})

x \to 3 lim (9)

x \to 0 + lim (\frac{2}{x ^{\frac{2}{3}}})

h \to 0 - lim (\frac{6 - 5 h ^{2} + 11 h + 6}{h})

x \to 5 lim (\frac{x ^{2}}{2 x - 3})

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