Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
0/8
Unit 2: Exponents and Logarithms
0/12
Unit 3: Limits
0/6
Unit 4: Trigonometry
0/4
Text lesson
Finding Limits Algebraically
Finding Limits Algebraically
Direct substitution and the limit laws
Direct substitution and the limit laws
- If a function is a polynomial, or a rational function whose denominator is not zero at the point, its limit at that point equals its value there.
- So we substitute directly.
- If lim f(x) = L and lim g(x) = M at the same point, then:
| Law | Result |
|---|---|
| Limit of a sum | L + M |
| Limit of a product | L × M |
| Limit of a quotient | L / M, provided M ≠ 0 |
| Limit of a constant times a function | k × L |
| Limit of a power | Ln |
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