Limits (Foundations)

Limits: core idea

• 1. Evaluate $\lim_{x\to-1}(x^2-4)$.

  Check

• 2. Evaluate $\lim_{x\to0}\dfrac{\sin x}{x}$.

  Check

• 3. Evaluate $\lim_{x\to3}\dfrac{x^2-9}{x-3}$.

  Check

• 4. Evaluate $\lim_{x\to\infty}\dfrac{5x^2-1}{2x^2+7}$.

  Check

• 5. Evaluate $\lim_{x\to0}\dfrac{e^x-1}{x}$.

  Check

• 6. Evaluate $\lim_{x\to4}\dfrac{\sqrt{x}-2}{x-4}$.

  Check

• 7. Evaluate $\lim_{x\to0}\dfrac{1-\cos x}{x^2}$.

  Check

• 8. Evaluate $\lim_{x\to-\infty}\dfrac{3x-2}{x+1}$.

  Check

• 9. Evaluate $\lim_{x\to0}\dfrac{\tan x}{x}$.

  Check