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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{e ^{2}}

Decimal Notation

0.13533 \dots

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

\frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

4 + 7 x

y = 2 x, y = x

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

\frac{d}{d x} (\frac{x - 2}{x} + ln (\frac{x}{2}))

\int_{- \infty}^{5} x e^{x} d x

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