the intended height of a function 1.2 What is a Limit? the intended height of a function the behavior of a function as its argument either gets "close" to some point, or as it becomes larger and larger
“the limit of f(x), as x approaches a, equals L” 1.2 LIMITS “the limit of f(x), as x approaches a, equals L”
if and only if &
Methods for finding a Limit: Graphically Numerically T-chart Algebraically
Ex 1: Estimate a limit numerically & graphically:
Ex 2: Estimate a limit numerically & graphically:
Ex 3: Sketch a graph & Evaluate.
A Limit DOES NOT EXIST when… f(x) increases/decreases w/out bound as x a. f(x) oscillates as x a.
Ex 3: Evaluate.
1.2 pg. 54 #3, 5, 9 – 25 odds
Ex 3: Estimate a limit numerically & graphically: