What is the limit as x approaches infinity of 1/x+5 ?

The limit as x approaches infinity of 1/x+5 is 5

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limit as x approaches infinity of 1/x+5

x \to \infty lim (\frac{1}{x} + 5)

5

Solution steps

x \to \infty lim (\frac{1}{x} + 5)

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 (\frac{1}{x}) + x \to \infty lim (5)

x \to \infty lim (\frac{1}{x}) = 0

x \to \infty lim (5) = 5

= 0 + 5

Simplify

= 5

\int_{0}^{1} e^{4 x} d x

\int sin (9 x) cos (7 x) d x

\int x cos^{2} (7 x) d x

(sin (5 x))^{^{'}}

f (x) = x + \frac{1}{x}

What is the limit as x approaches infinity of 1/x+5 ?
The limit as x approaches infinity of 1/x+5 is 5