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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Undefined

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

Undefined

= Undefined

x \to \infty lim (\frac{3 ^{x + 1}}{4 ^{x}})

x \to 2 lim (sin (π x))

x \to 0 + lim (x^{3} e^{- x^{2}})

x \to 3 lim (e^{\frac{1}{x}})

x \to 0 + lim (\frac{x + 1}{2 ^{x} - 1})

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