What is the limit as x approaches infinity of 5+3/x ?

The limit as x approaches infinity of 5+3/x is 5

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limit as x approaches infinity of 5+3/x

x \to \infty lim (5 + \frac{3}{x})

5

Solution steps

x \to \infty lim (5 + \frac{3}{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 (5) + x \to \infty lim (\frac{3}{x})

x \to \infty lim (5) = 5

x \to \infty lim (\frac{3}{x}) = 0

= 5 + 0

Simplify

= 5

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What is the limit as x approaches infinity of 5+3/x ?
The limit as x approaches infinity of 5+3/x is 5