What is the limit as n approaches infinity of \sqrt[n]{10n} ?

The limit as n approaches infinity of \sqrt[n]{10n} is 1

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limit as n approaches infinity of \sqrt[n]{10n}

n \to \infty lim (n 10 n)

1

Solution steps

n \to \infty lim (n 10 n)

Apply exponent rules

= n \to \infty lim (e^{\frac{1}{n} l n (10 n)})

Apply the Limit Chain Rule:

1

= 1

3 y^{^{'}} + y = 0

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

\frac{\partial}{\partial x} (e^{- 5 x^{2} - y^{2}})

\int_{0}^{2} (e^{t} + e^{- t}) d t

\int_{e}^{e^{2}} ln (x) d x

What is the limit as n approaches infinity of \sqrt[n]{10n} ?
The limit as n approaches infinity of \sqrt[n]{10n} is 1