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
Limits at Infinity
Limits at Infinity
Lesson summary
Lesson summary
- limx → ∞ 1/xn = 0 for any positive integer n.
- For a rational function at infinity, divide the numerator and the denominator by the highest power in the denominator.
- If the degrees are equal, the limit is the ratio of the leading coefficients.
- If the degree of the numerator is less than the degree of the denominator, the limit is 0. If it is greater, the limit is infinite.
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