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Contenido principal

STANDARDS

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US-SC

Math

South Carolina Math

Calculus: Limits and Continuity

C.LC.1

Understand the concept of a limit graphically, numerically, analytically, and contextually.

C.LC.1a

Not covered
Estimate and verify limits using tables, graphs of functions, and technology.
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C.LC.1b

Not covered
Calculate limits, including one-sided limits, algebraically using direct substitution, simplification, rationalization, and the limit laws for constant multiples, sums, differences, products, and quotients.
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C.LC.1c

Not covered
Calculate infinite limits and limits at infinity. Understand that infinite limits and limits at infinity provide information regarding the asymptotes of certain functions, including rational, exponential and logarithmic functions.
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C.LC.2

Understand the definition and graphical interpretation of continuity of a function.

C.LC.2a

Not covered
Apply the definition of continuity of a function at a point to solve problems.
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C.LC.2b

Not covered
Classify discontinuities as removable, jump, or infinite. Justify that classification using the definition of continuity.
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C.LC.2c

Not covered
Understand the Intermediate Value Theorem and apply the theorem to prove the existence of solutions of equations arising in mathematical and real-world problems.
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