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

The limit as n approaches infinity of n-1/n is infinity

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limit as n approaches infinity of n-1/n

n \to \infty lim (n - \frac{1}{n})

\infty

Solution steps

n \to \infty lim (n - \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 (n) - n \to \infty lim (\frac{1}{n})

n \to \infty lim (n) = \infty

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

= \infty - 0

Apply Infinity Property:

\infty - c = \infty

= \infty

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x \to 0 - lim (- x + 7)

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