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Popular >

limit as n approaches infinity of ((\sqrt[5]{n}))/(\sqrt[5]{n)+7}

Solution

n \to \infty lim (\frac{( 5 n )}{5 n + 7})

Solution

1

Solution steps

n \to \infty lim (\frac{5 n}{5 n + 7})

Divide by

5 n : \frac{1}{1 + \frac{7}{5 n}}

= n \to \infty lim (\frac{1}{1 + \frac{7}{5 n}})

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 _{n \to \infty} ( 1 )}{lim _{n \to \infty} ( 1 + \frac{7}{5 n} )}

n \to \infty lim (1) = 1

n \to \infty lim (1 + \frac{7}{5 n}) = 1

= \frac{1}{1}

Simplify

= 1

Graph

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Frequently Asked Questions (FAQ)

What is the limit as n approaches infinity of ((\sqrt[5]{n}))/(\sqrt[5]{n)+7} ?
The limit as n approaches infinity of ((\sqrt[5]{n}))/(\sqrt[5]{n)+7} is 1