Question100. $\lim _{x \rightarrow 1} \frac{x^{3}-1}{x^{2}-1}$

Studdy Solution
Evaluate the limit by substituting $x = 1$ into the simplified expression.
$$\lim_{x \rightarrow 1} \frac{x^2 + x + 1}{x + 1} = \frac{1^2 + 1 + 1}{1 + 1} = \frac{3}{2}$$
Solution: $$\lim _{x \rightarrow 1} \frac{x^{3}-1}{x^{2}-1} = \frac{3}{2}$$