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

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

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limit as x approaches infinity of 5+8/x

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

5

Solution steps

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

x \to \infty lim (5) = 5

x \to \infty lim (\frac{8}{x}) = 0

= 5 + 0

Simplify

= 5

x \to 7 - lim (\frac{5 - x}{x - 7})

x \to 3 lim (x^{2} + 5 x - 7)

x \to 1 - lim (e^{x} - e)

x \to - 6 lim (x^{2} + 9 x)

x \to - 1 lim (\frac{x ^{6} - 1}{x + 1})

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