How do you find the limit of $(x^2 +2)/(x^3-1)$ as x approaches 0?

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Answer 1 · 2016-11-11T11:20:20

By substitution.

Replacing $x$ by $0$ does not lead to anything indeterminate or undefined, so the limit is $(0+1)/(0-1) = 2/-1= -2$ .

How do you find the limit of (x^2 +2)/(x^3-1) (x^2 +2)/(x^3-1) as x approaches 0?