What is the limit as x approaches infinity of x+2/x ?

The limit as x approaches infinity of x+2/x is infinity

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limit as x approaches infinity of x+2/x

x \to \infty lim (x + \frac{2}{x})

\infty

Solution steps

x \to \infty lim (x + \frac{2}{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{2}{x})

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

x \to \infty lim (\frac{2}{x}) = 0

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

x \to 4 lim (5 x)

\frac{s - 1}{s + 3}

\frac{d}{d x} (\frac{y ^{3}}{x ^{2}})

\frac{\partial}{\partial y} (x^{5} y)

\int cos (2 t) e^{- s t} d t

What is the limit as x approaches infinity of x+2/x ?
The limit as x approaches infinity of x+2/x is infinity