Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Unit 2: Exponents and Logarithms
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Unit 3: Limits
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Unit 4: Trigonometry
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Text lesson
Introduction to Limits
Introduction to Limits
The idea of a limit and its notation
The idea of a limit and its notation
- The limit of f(x) as x approaches a is the value L that f(x) gets closer and closer to as x gets closer to a from both sides.
- The value of the function at a itself is not what matters.
- We write this as limx → a f(x) = L, read as “the limit of f(x) as x tends to a equals L”.
- For example, as x approaches 2, the expression x + 3 approaches 5, so limx → 2 (x + 3) = 5.
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