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

The limit as x approaches infinity of 1+1/x is 1

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limit as x approaches infinity of 1+1/x

x \to \infty lim (1 + \frac{1}{x})

1

Solution steps

x \to \infty lim (1 + \frac{1}{x})

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

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

x \to \infty lim (1) = 1

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

= 1 + 0

Simplify

= 1

x x^{2} + 5

n = 2 \sum \infty \frac{1}{n}

\frac{d}{d x} (x^{- \frac{1}{5}})

\int \frac{x}{x ^{4} x ^{4} - x ^{2}} d x

\frac{d}{d x} (x^{0.9})

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