Topic explanation

Standard explanation

Multiply by the conjugate when radicals cause 00, then simplify before substitution.

Key points

• Limits by rationalization
• rule
• worked example
• Limits by rationalization: Multiply by the conjugate when radicals cause 00, then simplify before substitution.
• CONCEPT AND RULE: Multiply by the conjugate when radicals cause 00, then simplify before substitution.
• METHOD: For limits by rationalization, identify the given information and required result. Select the matchi
• Multiply by the conjugate when radicals cause 00, then simplify before substitution.
• Worked pattern: lim(x->0)(sqrt(1+x)-1)/x=12.

Labelled diagram