the intended height of a function

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Presentation transcript:

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: