What is the limit as x approaches 0 of x^3-x^2+x-1 ?

The limit as x approaches 0 of x^3-x^2+x-1 is -1

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limit as x approaches 0 of x^3-x^2+x-1

x \to 0 lim (x^{3} - x^{2} + x - 1)

- 1

Solution steps

x \to 0 lim (x^{3} - x^{2} + x - 1)

Plug in the value

x = 0

= 0^{3} - 0^{2} + 0 - 1

Simplify

= - 1

x \to - 3 lim (x^{4} + 9 x^{2} - 11 x)

x \to 3 lim (\frac{x ^{3} - 3 x ^{2}}{5 x - 15})

x \to 1 lim (ln (x^{2} - 3 x + 2))

x \to - 4 lim (3 x^{2} + 12 x)

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

What is the limit as x approaches 0 of x^3-x^2+x-1 ?
The limit as x approaches 0 of x^3-x^2+x-1 is -1