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

x \to 0 lim (\frac{sin ( x ) + 1}{x})

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

x \to 0 + lim (e^{x} - 1)

x \to 1 lim (\frac{( 3 + x ) ^{2} - 9}{x})

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

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