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Standards/Math/South Carolina/C.LC

C.LC

C Calculus
C.D
C.I
C.LC
C.LC.1C.LC.1aC.LC.1bC.LC.1cC.LC.2C.LC.2aC.LC.2bC.LC.2c

Limits and Continuity

C.LC.1Understand the concept of a limit graphically, numerically, analytically, and contextually.C.LC.1aEstimate and verify limits using tables, graphs of functions, and technology.C.LC.1bCalculate limits, including one-sided limits, algebraically using direct substitution, simplification, rationalization, and the limit laws for constant multiples, sums, differences, products, and quotients.C.LC.1cCalculate 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.C.LC.2Understand the definition and graphical interpretation of continuity of a function.C.LC.2aApply the definition of continuity of a function at a point to solve problems.C.LC.2bClassify discontinuities as removable, jump, or infinite. Justify that classification using the definition of continuity.C.LC.2cUnderstand 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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