What is the limit as x approaches 1+of x^{5/(1-x)} ?

The limit as x approaches 1+of x^{5/(1-x)} is 1/(e^5)

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limit as x approaches 1+of x^{5/(1-x)}

x \to 1 + lim (x^{\frac{5}{1 - x}})

\frac{1}{e ^{5}}

Decimal Notation

0.00673 \dots

Solution steps

x \to 1 + lim (x^{\frac{5}{1 - x}})

Apply exponent rules

= x \to 1 + lim (e^{\frac{5}{1 - x} l n (x)})

Apply the Limit Chain Rule:

\frac{1}{e ^{5}}

= \frac{1}{e ^{5}}

(y + 1) d x = 2 x y d y

y = (4 x - 3)^{\frac{1}{2}}

x \to \infty lim (2 - 2)

\int_{- 1}^{1} \frac{1}{x ^{\frac{8}{5}}} d x

\int_{2}^{7} 5 d x

What is the limit as x approaches 1+of x^{5/(1-x)} ?
The limit as x approaches 1+of x^{5/(1-x)} is 1/(e^5)