MA.912.C.1: Develop an understanding for limits and continuity. Determine limits and continuity.

Develop an understanding for limits and continuity. Determine limits and continuity.

MA.912.C.1.1Demonstrate understanding of the concept of a limit and estimate limits from graphs and tables of values.MA.912.C.1.10Given the graph of a function, identify whether a function is continuous at a point. If not, identify the type of discontinuity for the given function.MA.912.C.1.11Apply the Intermediate Value Theorem and the Extreme Value Theorem.MA.912.C.1.2Determine the value of a limit if it exists algebraically using limits of sums, differences, products, quotients and compositions of continuous functions.MA.912.C.1.3Find limits of rational functions that are undefined at a point.MA.912.C.1.4Find one-sided limits.MA.912.C.1.5Find limits at infinity.MA.912.C.1.6Decide when a limit is infinite and use limits involving infinity to describe asymptotic behavior.MA.912.C.1.7Find special limits by using the Squeeze Theorem or algebraic manipulation.MA.912.C.1.8Find limits of indeterminate forms using L'Hôpital's Rule.MA.912.C.1.9Define continuity in terms of limits.
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