Curriculum
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General Mathematics — Second Secondary
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Curriculum
General Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Real Functions
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Real Functions — Lesson quiz
6 questions
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Monotonicity of Functions
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Monotonicity of Functions — Lesson quiz
6 questions
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Even and Odd Functions
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Even and Odd Functions — Lesson quiz
6 questions
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Graphing Functions
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Graphing Functions — Lesson quiz
6 questions
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Solving Equations and Inequalities
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Solving Equations and Inequalities — Lesson quiz
6 questions
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Unit 2: Exponents, Logarithms and Applications
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Rational Exponents
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Rational Exponents — Lesson quiz
6 questions
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
6 questions
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
6 questions
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
6 questions
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
6 questions
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Unit 3: Limits
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Introduction to Limits
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Introduction to Limits — Lesson quiz
6 questions
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Finding Limits Algebraically
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Finding Limits Algebraically — Lesson quiz
6 questions
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Limits at Infinity
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The meaning of a limit at infinity
Rational functions at infinity
Worked examples
Common mistakes
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Limits at Infinity — Lesson quiz
6 questions
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Unit 4: Trigonometry
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The Sine Rule
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The Sine Rule — Lesson quiz
6 questions
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The Cosine Rule
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The Cosine Rule — Lesson quiz
6 questions
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Text lesson
Limits at Infinity
General Mathematics — Second Secondary
Limits at Infinity
Explanation
Lesson summary
Lesson summary
lim
x → ∞
1/x
n
= 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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