GRADE 12 MATH · CHAPTER 3
Introductory calculus
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Introductory calculus
Evaluate a polynomial limit
Use continuity to evaluate a polynomial limit by substitution.
Introductory calculus
Evaluate a rational limit with a removable hole
Use factorization to evaluate a limit even when direct substitution gives 0/0.
Introductory calculus
Differentiate a power function
Use the power rule on a constant times a positive integer power.
Introductory calculus
Use a derivative to find a tangent line
Combine a derivative and a point on a quadratic curve to determine a tangent line.
Introductory calculus
Integrate a quadratic over an interval
Evaluate a definite integral of a constant multiple of x².
AN EXAMPLE FROM THIS CHAPTER
Find the limit of 2x2 + (3)x + (1) as x approaches 2.
Show answer & explanation
15
Polynomials are continuous. Substitute x=2: 2(2)2 + (3)(2) + (1) = 15.
Curriculum & source notes
These are original Little Play study books organized around U.S. school topics. The official curriculum references below guide topic scope and progression. Coverage is selected, not a complete curriculum or a verified match to every state standard. They are not copies of a publisher’s textbook. Check your school’s syllabus and book edition.
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