What is the limit as x approaches infinity of 9+6/x ?

The limit as x approaches infinity of 9+6/x is 9

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limit as x approaches infinity of 9+6/x

x \to \infty lim (9 + \frac{6}{x})

9

Solution steps

x \to \infty lim (9 + \frac{6}{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{6}{x})

x \to \infty lim (9) = 9

x \to \infty lim (\frac{6}{x}) = 0

= 9 + 0

Simplify

= 9

x \to - \frac{1}{5} lim (x^{3} + 5 x)

x \to - 2 lim (2 x - x^{2})

x \to - 2 lim (\frac{x + 2}{3 x - 5})

x \to - 1 lim (3 x + 5)

x \to - 2 lim (x^{2} + 4 x + 5)

What is the limit as x approaches infinity of 9+6/x ?
The limit as x approaches infinity of 9+6/x is 9