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

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

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limit as n approaches infinity of 1+2/n

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

1

Solution steps

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

n \to \infty lim (1) = 1

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

= 1 + 0

Simplify

= 1

x \to 3 - lim (ln (9 - x^{2}))

x \to 1 lim (x^{2} - 1)

x \to - \infty lim (- \frac{5}{x})

x \to 0 lim (\frac{( 1 - cos ( x ) )}{3 x ^{2}})

x \to 4 lim (\frac{4 - 4 + 3 x}{4 - x})

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