Topic explanation

Standard explanation

lim f(x) as x approaches a is the value f(x) approaches; f(a) may differ or be undefined.

Key points

• Idea of a limit
• rule
• worked example
• Idea of a limit: lim f(x) as x approaches a is the value f(x) approaches; f(a) may differ or be undefined.
• CONCEPT AND RULE: lim f(x) as x approaches a is the value f(x) approaches; f(a) may differ or be undefined.
• METHOD: For idea of a limit, identify the given information and required result. Select the matching definit
• lim f(x) as x approaches a is the value f(x) approaches; f(a) may differ or be undefined.
• Worked pattern: For x²-1x-1, the limit at 1 is 2 although the expression is undefined at 1.

Labelled diagram