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[Go around with names]
[If there are new students:]
Say your name
Describe your academic and nonacademic interests
Say why you signed up for the course
Say a little about your math background (esp. calculus)
Talk about your best and worst math experiences
Say your name again
Any questions about this course?
Can everyone view the 09.01.doc file?
[Hand out time sheets.]
Before we dive into Stewart, let’s “go back to high school”,
and see if everything you were taught makes perfect sense,
or whether it suggests that you weren’t told the whole
story.
Is 0.999… the same as 1.000…, and if so, why?
..?.
.
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View Full Document Intuitively, it seems to many students that since 0.9 < 1.0,
and 0.99 < 1.00, and 0.999 < 1.000, and similarly for finite
decimals of arbitrary length (no matter how large), the “<”
should stay a “<” (and not become an “=”) when we
replace a long
finite
string of 9’s by a string of
infinitely
many 9’s.
This intuition is reinforced by the similarity between the
words “infinite” and “indefinite”.
But if we insist on having 0.999… and 1.000… represent
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This note was uploaded on 02/13/2012 for the course MATH 141 taught by Professor Staff during the Fall '11 term at UMass Lowell.
 Fall '11
 Staff
 Calculus

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