What is the limit as x approaches infinity of 9+4/x ?

The limit as x approaches infinity of 9+4/x is 9

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limit as x approaches infinity of 9+4/x

x \to \infty lim (9 + \frac{4}{x})

9

Solution steps

x \to \infty lim (9 + \frac{4}{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 (9) + x \to \infty lim (\frac{4}{x})

x \to \infty lim (9) = 9

x \to \infty lim (\frac{4}{x}) = 0

= 9 + 0

Simplify

= 9

What is the limit as x approaches infinity of 9+4/x ?
The limit as x approaches infinity of 9+4/x is 9