What is the limit as x approaches infinity of 7+9/x ?

The limit as x approaches infinity of 7+9/x is 7

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limit as x approaches infinity of 7+9/x

x \to \infty lim (7 + \frac{9}{x})

7

Solution steps

x \to \infty lim (7 + \frac{9}{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 (7) + x \to \infty lim (\frac{9}{x})

x \to \infty lim (7) = 7

x \to \infty lim (\frac{9}{x}) = 0

= 7 + 0

Simplify

= 7

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What is the limit as x approaches infinity of 7+9/x ?
The limit as x approaches infinity of 7+9/x is 7