Limits and continuity (cheat sheet) - AP calc

Limits and continuity cheat sheet. Its a precise and succinct summary of all theorems involved in this chapter, and it explains them in detail. It covers: A. Limits of Functions (incl. one-sided limits) * An intuitive understanding of the limiting process. * Calculating limits using algebra. * Estimating limits from graphs or tables of data. B. Asymptotic and Unbounded Behavior * Understanding asymptotes in terms of graphical behavior. * Describing asymptotic behavior in terms of limits involving infinity. * Comparing relative magnitudes of functions and their rates of change. (For example, contrasting exponential growth, polynomial growth, and logarithmic growth.) C. Continuity as a Property of Functions * An intuitive understanding of continuity. (The function values can be made as close as desired by taking sufficiently close values of the domain.) * Understanding continuity in terms of limits. * Geometric understanding of graphs of continuous functions (Intermediate Value Theorem and Extreme Value Theorem). - In according to AP calculus---- It spans 11 theorems for this chapter, along with well explained definitions, which summarizes a whole chapter in 5 full length pages. Bolded and coloured headings have been used to distinguish between theorems, and for a better ease for read.

Preview:2 Pages available for preview!