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

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^{^{'}} + y^{3} = 0

y^{^{''}} + 4 y^{^{'}} + 4 y = (3 + x) e^{- 2 x}

- 4 e^{t}

\int 1 + sin (2 x) d x

\frac{d}{d x} (arctan (\frac{( x - 1 )}{x + 1}))

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)