Question Type 1: Simple limits: convergence, divergence, and function behavior Bootcamps

Find $\displaystyle \lim_{x\to -1} \frac{x^2 - 1}{x + 1}$.

Evaluate $\displaystyle \lim_{x\to 3} \frac{x^2 - 9}{x - 3}$.

Compute $\displaystyle \lim_{x\to -2} \frac{x^2 + 3x + 2}{x + 2}$.

Determine $\displaystyle \lim_{x\to 2} \frac{3x + 5}{x - 2}$.

Evaluate $\displaystyle \lim_{x\to 1} \frac{x^3 - 1}{x - 1}$.

Calculate $\displaystyle \lim_{x\to 0} \frac{x^3 + 4x}{3x^3 + 1}$.

Determine $\displaystyle \lim_{x\to\infty} \frac{2x^3 - x}{x^2 + 1}$.

Find $\displaystyle \lim_{x\to 0} \frac{e^x - 1}{x}$.

Compute $\displaystyle \lim_{x\to -\infty} \frac{x^3 - 2x}{x^2 + 1}$.

Find $\displaystyle \lim_{x\to\infty} \frac{5x^2 + 3x}{2x^2 - x}$.

Compute $\displaystyle \lim_{x\to 0} \frac{\sin x}{x}$.

Determine $\displaystyle \lim_{x\to\pi} \frac{\sin x}{x - \pi}$.