What is the limit as x approaches 1 of x^{6/(1-x)} ?

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

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limit as x approaches 1 of x^{6/(1-x)}

x \to 1 lim (x^{\frac{6}{1 - x}})

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

Decimal Notation

0.00247 \dots

Solution steps

x \to 1 lim (x^{\frac{6}{1 - x}})

Apply exponent rules

= x \to 1 lim (e^{\frac{6}{1 - x} l n (x)})

Apply the Limit Chain Rule:

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

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

\int \frac{x ^{2} + 2 x}{( x + 1 ) ^{2}} d x

x \to 1 lim (4 x^{3})

x \to - 6 lim (5)

\frac{d}{d x} (16 x^{3} - 96 x^{2} + 178 x - 95)

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