March 1
section covered in text
2.2. The Limit of a Function
objective: to understand the meaning
of limit descriptively, numerically and graphically
key ideas and/or vocabulary
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definition of of limit, page 102
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use f(x) = x2 - 3x + 2 .....lim f(x) as
x approaches 3
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f(x) need not be defined at x = 3
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figure 2: 3 different cases illustrated
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Let f(x) = (x2 - 3x + 2)/(x-2) and use
GRAPH and ZDECM
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limit, left-hand limit, right-hand limit, Heaviside
function
solved problems - using key ideas
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reading and understanding limit notation, #1
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using numerical data to guess value of limit, #9
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finding a limit graphically, #13
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right-hand and left-hand limits, #3
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how guesses can go wrong, #17
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how calculators can mess up, #18
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finding how close we need to get to x to ensure a given value of ex,
#19
group work
An Interesting Function
Solutions to An Interesting Function
announcements
Homework.#2,6,8,12,20
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QUESTION OF THE DAY
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The perimeter of a rectangle is 15 ft.
Express the area as a function of its length. What is the domain
of this function?
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SOLUTION
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SOLUTION.
2L + 2w = 15 implies w = (15 - 2L)/2
A = Lw
A(L) = L(15 - 2L)/2
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