What is the limit as x approaches infinity of 8+5/x ?

The limit as x approaches infinity of 8+5/x is 8

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limit as x approaches infinity of 8+5/x

x \to \infty lim (8 + \frac{5}{x})

8

Solution steps

x \to \infty lim (8 + \frac{5}{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 (8) + x \to \infty lim (\frac{5}{x})

x \to \infty lim (8) = 8

x \to \infty lim (\frac{5}{x}) = 0

= 8 + 0

Simplify

= 8

What is the limit as x approaches infinity of 8+5/x ?
The limit as x approaches infinity of 8+5/x is 8