Unit 2: Limits and Rates of Change
Limits and Rates of Change
Limits are what separate Calculus from pre – calculus. Using a limit is also the foundational principle behind the two most
important concepts in calculus, derivatives and integrals. Limits can be found using substitution, graphical investigation,
numerical approximation, algebra, or some combination of these
Interpret a function from an algebraic, numerical, graphical and verbal perspective and extract information relevant to the phenomenon modeled by the function.
Verify the value of the limit of a function at a point using the definition of the limit
Calculate the limit of a function at a point numerically and algebraically using appropriate techniques
Find points of discontinuity for functions and classify them.
Understand the consequences of the intermediate value theorem for continuous functions
Interpret the derivative of a function at a point the as the instantaneous rate of change in the quantity modeled and state its units.
Unit 2 Notes:
2.3 B – Calculating Limits using the limits Laws Continue.pdf
Limits & Continuity practice test.pdf