What is the limit as n approaches infinity of 1/(x^{n-1)} ?

The limit as n approaches infinity of 1/(x^{n-1)} is Undefined

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limit as n approaches infinity of 1/(x^{n-1)}

n \to \infty lim (\frac{1}{x ^{n - 1}})

Undefined

Solution steps

n \to \infty lim (\frac{1}{x ^{n - 1}})

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} ( x ^{n - 1} )}

n \to \infty lim (1) = 1

n \to \infty lim (x^{n - 1}) =

Undefined

= \frac{1}{Undefined}

= Undefined

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What is the limit as n approaches infinity of 1/(x^{n-1)} ?
The limit as n approaches infinity of 1/(x^{n-1)} is Undefined