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

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

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limit as x approaches 1 of e^{x^3-x}

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

1

Solution steps

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

Plug in the value

x = 1

= e^{1^{3} - 1}

Simplify

= 1

\frac{d}{d x} (\frac{3 x - 2}{x ^{2}})

\int (x^{5} - 9 + \frac{6}{x ^{7}}) d x

\frac{d}{d x} (y + x) + x + y + 1 = 0

\int \frac{1}{- x ^{2} + 2 x + 8} d x

\frac{\partial}{\partial x} (2 x y + y cos (x))

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