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

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

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limit as x approaches infinity of 1/x+x

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

\infty

Solution steps

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

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

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

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

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