What is the limit as x approaches+0 of (1-2x)^{3/x} ?

The limit as x approaches+0 of (1-2x)^{3/x} is 1/(e^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches+0 of (1-2x)^{3/x}

x \to + 0 lim ((1 - 2 x)^{\frac{3}{x}})

\frac{1}{e ^{6}}

Decimal Notation

0.00247 \dots

Solution steps

x \to 0 lim ((1 - 2 x)^{\frac{3}{x}})

Apply exponent rules

= x \to 0 lim (e^{\frac{3}{x} l n (1 - 2 x)})

Apply the Limit Chain Rule:

\frac{1}{e ^{6}}

= \frac{1}{e ^{6}}

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

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} + 3})

x \to 1 lim (10 x + 1)

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

4 (\frac{( 1 )}{s ^{2} + 16})

What is the limit as x approaches+0 of (1-2x)^{3/x} ?
The limit as x approaches+0 of (1-2x)^{3/x} is 1/(e^6)