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Popular >

limit as x approaches infinity of (sqrt(x))/(sqrt(x\sqrt{x\sqrt{x))}}

Solution

x \to \infty lim \frac{x}{x x x}

Solution

0

Solution steps

x \to \infty lim \frac{x}{x x x}

Simplify

\frac{x}{x x x} : \frac{1}{x x}

= x \to \infty lim \frac{1}{x x}

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

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

x \to \infty lim (1) = 1

x \to \infty lim (x x) = \infty

= \frac{1}{\infty}

Apply Infinity Property:

\frac{c}{\infty} = 0

= 0

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Frequently Asked Questions (FAQ)

What is the limit as x approaches infinity of (sqrt(x))/(sqrt(x\sqrt{x\sqrt{x))}} ?
The limit as x approaches infinity of (sqrt(x))/(sqrt(x\sqrt{x\sqrt{x))}} is 0