Limits via Table - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section 1.2 Learning Targets... 1. Evaluate a limit using a table Evaluate a limit using a graph Evaluate a limit analytically Evaluate a limit of a composite function Use properties of limits to evaluate mbwWh Key idea: A limit is a value that a function approaches from both sides. Notes LT: Evaluate a limit using a table e 2" TBLSET: Set independent to ASK 2°" TABLE: Key in x-values and read y-values e What y-value is the function approaching? Examples Find the limit using a table. 1) lim ———— = |2 xOvee1—1 (2) x | -0.01 | -0.001 | -0.0001 | 0 | 0.0001 | 0.001 | 0.01 f(x) 11,445/1-9499 [haaaq (Le) 2 2.0055 [2-905 Notes LT: Evaluate a limit using a graph e What value (if any) does the function approach from both sides? e If there isa “jump” or a vertical asymptote, the limit does not exist (DNE). « The limit does not necessarily equal the value of the function! 1/4