What is the limit as x approaches 2 of (x^3+1)/(x+1) ?

The limit as x approaches 2 of (x^3+1)/(x+1) is 3

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limit as x approaches 2 of (x^3+1)/(x+1)

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

3

Solution steps

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

Plug in the value

x = 2

= \frac{2 ^{3} + 1}{2 + 1}

Simplify

= 3

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What is the limit as x approaches 2 of (x^3+1)/(x+1) ?
The limit as x approaches 2 of (x^3+1)/(x+1) is 3