Explanation

• Vertical asymptote: x = a, f(x) → ±∞ as x → a

• Infinite limits describe behavior near asymptotes

Example: f(x) = 1/(x−2) → x=2 vertical asymptote

Quiz

1. What is vertical asymptote?

2. f(x) = 1/(x−3), vertical asymptote = ?

3. Infinite limit example?

4. Do limits approach infinity at asymptote?

5. Can function cross asymptote?

Answer Key

1. Line x = a where f(x) → ∞

2. x = 3

3. 1/(x−2) as x→2

4. Yes

5. No