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

\frac{d}{d x} (- \frac{5}{( x - 2 ) ^{2}})

\frac{\partial}{\partial y} (\frac{y}{y - 2 x})

\frac{d v}{d t} = 9.8 - \frac{v}{5}, v (0) = 0

- 2 7 s^{2} + 8

x y^{^{'}} = x + y

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