What is the limit as x approaches infinity of 6+1/x ?

The limit as x approaches infinity of 6+1/x is 6

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limit as x approaches infinity of 6+1/x

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

6

Solution steps

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

x \to \infty lim (6) = 6

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

= 6 + 0

Simplify

= 6

\frac{d}{d z} (x y^{2} - x y^{2} z^{3} + 2 x^{2} y z^{2})

\frac{d}{d x} (2 x^{3} - x^{2} + 3 x)

y = x^{2} + 5

\int e^{- x} (1 - x) d x

\frac{\partial}{\partial x} (\frac{x}{x ^{7} - y ^{6}})

What is the limit as x approaches infinity of 6+1/x ?
The limit as x approaches infinity of 6+1/x is 6