Curriculum
General Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
0/10
Unit 2: Exponents, Logarithms and Applications
0/10
Unit 3: Limits
0/6
Unit 4: Trigonometry
0/4
Text lesson
Introduction to Limits
Introduction to Limits
Left-hand and right-hand limits
Left-hand and right-hand limits
- For the limit at a to exist, the values of f(x) must approach one single number when x approaches a from the right (x > a) and from the left (x < a).
- Right-hand limit limx → a+ f(x).
- Left-hand limit limx → a− f(x).
- The limit exists only when the right-hand and left-hand limits are equal.
- If the two one-sided limits are different, the limit does not exist at a.
Introduction to Limits · 2 / 5