Math 117, F 09
Review Outline for Second Midterm
Definitions.
increasing/decreasing sequence
monotone sequence
limit of a function at an accumulation point of its domain
continuity of a function at a point of its domain
Symbols.
lim
x
→
x
0
f
(
x
)
Theorems.
This is a list of the major theorems (and corollaries, etc.)
that we have
developed in the meantime, with phrases labelling them. You don’t need to memorize the
numbers of these theorems, just the statements. The numbers are just listed here to help
you find things in the book.
(1.16) convergence of monotone sequences
(1.17) testing for accumulation points using sequences
(2.1) testing for limits of functions using sequences
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 Fall '08
 Akhmedov,A
 Calculus, Topology, Continuity, Continuous function

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