Topic explanation

Standard explanation

If magnitude grows without bound near x=a, x=a is a vertical asymptote; signs may differ by side.

Key points

• Infinite limits and vertical asymptotes
• rule
• worked example
• Infinite limits and vertical asymptotes: If magnitude grows without bound near x=a, x=a is a vertical asymptote; signs may differ by side.
• CONCEPT AND RULE: If magnitude grows without bound near x=a, x=a is a vertical asymptote; signs may differ by side.
• METHOD: For infinite limits and vertical asymptotes, identify the given information and required result. Sel
• If magnitude grows without bound near x=a, x=a is a vertical asymptote; signs may differ by side.
• Worked pattern: 1x-2 tends to -infinity from the left and +infinity from the right.

Labelled diagram