What is the limit as x approaches 1+of x^{4/(1-x)} ?

The limit as x approaches 1+of x^{4/(1-x)} is 1/(e^4)

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limit as x approaches 1+of x^{4/(1-x)}

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

\frac{1}{e ^{4}}

Decimal Notation

0.01831 \dots

Solution steps

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

Apply exponent rules

= x \to 1 + lim (e^{\frac{4}{1 - x} l n (x)})

Apply the Limit Chain Rule:

\frac{1}{e ^{4}}

= \frac{1}{e ^{4}}

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

x \to 1 + lim (\frac{4}{x - 1})

\frac{\partial}{\partial x} (2 x^{2} y - 2 x + 4 y^{3})

x \to 0 lim (x^{2 x})

\frac{d}{d v} (v i)

What is the limit as x approaches 1+of x^{4/(1-x)} ?
The limit as x approaches 1+of x^{4/(1-x)} is 1/(e^4)