Question
Find the limit if it exists. If the limit does not exist, explain why.$$\lim _{x \rightarrow 1} \frac{x^{3}-1}{x^{2}-1}$$
Step 1
The numerator is a difference of cubes and the denominator is a difference of squares. So, we can write the expression as follows: $$\frac{x^{3}-1}{x^{2}-1} = \frac{(x-1)(x^{2}+x+1)}{(x-1)(x+1)}$$ Show more…
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