What is the limit as n approaches infinity of x^{2n} ?

The limit as n approaches infinity of x^{2n} is Undefined

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limit as n approaches infinity of x^{2n}

n \to \infty lim (x^{2 n})

Undefined

Solution steps

n \to \infty lim (x^{2 n})

Apply exponent rules

= n \to \infty lim (e^{2 n l n (x)})

Apply the Limit Chain Rule:

Undefined

= Undefined

What is the limit as n approaches infinity of x^{2n} ?
The limit as n approaches infinity of x^{2n} is Undefined