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

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

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limit as x approaches infinity of x+1/x

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

\infty

Solution steps

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

x \to \infty lim (x) = \infty

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

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

\int_{2}^{10} (- 4) d x

\frac{d}{d x} (x sin (ln (x)))

n = 0 \sum \infty \frac{1}{n + 19}

x^{2} + 9 x

\int (x - x^{3})^{2} d x

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