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the intended height of a function

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Presentation on theme: "the intended height of a function"— Presentation transcript:

1 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

2 “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”

3 if and only if &

4 Methods for finding a Limit:
Graphically Numerically T-chart Algebraically

5 Ex 1: Estimate a limit numerically & graphically:

6 Ex 2: Estimate a limit numerically & graphically:

7 Ex 3: Sketch a graph & Evaluate.

8 A Limit DOES NOT EXIST when…
f(x) increases/decreases w/out bound as x  a. f(x) oscillates as x  a.

9 Ex 3: Evaluate.

10 1.2 pg. 54 #3, 5, 9 – 25 odds

11 Ex 3: Estimate a limit numerically & graphically:


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