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

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

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

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

0

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 0

x \to 3 lim (\frac{1}{9 - x ^{2}})

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x \to \frac{3}{2} lim (\frac{( 8 x ^{3} - 27 )}{4 x ^{2} - 9})

t \to 0 lim (cot (t) - csc (t))

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