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

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

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

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

\frac{1}{e ^{3}}

Decimal Notation

0.04978 \dots

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

\frac{1}{e ^{3}}

= \frac{1}{e ^{3}}

y^{^{''}} - 5 y^{^{'}} - 6 y = 0, y (0) = 5, y^{^{'}} (0) = 12

\int \frac{1}{10 x ^{\frac{1}{2}} - x} d x

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

\int \frac{3 y ^{2} - t ^{2}}{y ^{5}} d y

\frac{d}{d x} (ln (9) x^{2})

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