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:

• • 2.1 – The Tangent and velocity problems.pdf

  • 2.2 – The limit of a Function.pdf

  • 2.3 A – Calculating Limits using the limits Laws.pdf

  • 2.3 B – Calculating Limits using the limits Laws Continue.pdf

  • 2.5 – Continuity.pdf

  • 2.6 A – Limits at Infinity; Horizontal Asymptote.pdf

  • 2.6 B – Limits at Infinity continue.pdf

  • 2.7 – Tangents, Velocities, and Other Rates of Change..pdf

  • Limits & Continuity practice test.pdf

  • 2.9 LIMITS & CONTINUITY PRACTICE REVIEW KEY.PDF