Topic explanation

Standard explanation

Factor and cancel only after noting the excluded value; cancellation simplifies nearby values, not the hole itself.

Key points

• Limits by factorization
• rule
• worked example
• Limits by factorization: Factor and cancel only after noting the excluded value; cancellation simplifies nearby values, not t
• CONCEPT AND RULE: Factor and cancel only after noting the excluded value; cancellation simplifies nearby values, not t
• METHOD: For limits by factorization, identify the given information and required result. Select the matching
• Factor and cancel only after noting the excluded value; cancellation simplifies nearby values, not the hole itself.
• Worked pattern: lim(x->3)x²-9x-3=lim(x+3)=6.

Labelled diagram