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

The limit as x approaches-1 of (x^3+1)/(x+1) is 3

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

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

3

Solution steps

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

Simplify

\frac{x ^{3} + 1}{x + 1} : x^{2} - x + 1

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

Plug in the value

x = - 1

= (- 1)^{2} - (- 1) + 1

Simplify

(- 1)^{2} - (- 1) + 1 : 3

= 3

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