What is the limit as x approaches infinity of (0.6)^{1/x} ?

The limit as x approaches infinity of (0.6)^{1/x} is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches infinity of (0.6)^{1/x}

x \to \infty lim ((0.6)^{\frac{1}{x}})

1

Solution steps

x \to \infty lim (0. 6^{\frac{1}{x}})

Apply exponent rules

= x \to \infty lim (e^{\frac{1}{x} l n (0.6)})

Multiply

\frac{1}{x} ln (0.6) : - \frac{0.51082 \dots}{x}

= x \to \infty lim (e^{- \frac{0.51082 \dots}{x}})

Apply the Limit Chain Rule:

1

= 1

\int 2 x (x^{2} + 4)^{4} d x

\int 3 x 1 - x^{4} d x

\int \frac{4}{( x ^{2} - 8 x )} d x

\frac{d}{d x} (x + x e^{x})

\int \frac{x ^{2} + 6 x}{x + 3} d x

What is the limit as x approaches infinity of (0.6)^{1/x} ?
The limit as x approaches infinity of (0.6)^{1/x} is 1