What is the limit as x approaches infinity of 8+1/x ?

The limit as x approaches infinity of 8+1/x is 8

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limit as x approaches infinity of 8+1/x

x \to \infty lim (8 + \frac{1}{x})

8

Solution steps

x \to \infty lim (8 + \frac{1}{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{1}{x})

x \to \infty lim (8) = 8

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

= 8 + 0

Simplify

= 8

\frac{d}{d x} (ln (9 - x^{2}))

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 1)

arccos (\frac{cos ( x )}{1 + cos ( x )})

f (x) = sin (8 x)

y = x^{9 c o s (x)}

What is the limit as x approaches infinity of 8+1/x ?
The limit as x approaches infinity of 8+1/x is 8