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

4 e^{t}

x \to 4 lim (\frac{2}{( x + 4 ) ^{3}})

3 e^{- 2 t} cos (t)

t^{2} + 1

\frac{d}{d x} (5 + 3 x)

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