CONCEPTS TO MEMORIZE:
Limit
:
xa
lim f (x)
L
→
=
means that f(x) can made as close to L as we want, when x is very close to a.
lim f (x)
→
=∞
means that f(x) can made arbitrary large, when x is made very close to a.
lim f (x)
→
=−∞
means that f(x) can made arbitrary small, when x is made very close to a.
Continuity
:
f is continuous at x = a
if
lim f (x)
f (a)
→
=
Intermediate Value Theorem
:
Let f(x) be a
continuous
function on the interval (a, b), and
let
f(a)
f(b).
If N is any number between f(a) and f(b),
≠
then there is a point c in the open interval (a, b) such that
f(c) = N.
Other version: Let f(x) be a
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This note was uploaded on 04/18/2008 for the course MATH 210 taught by Professor Zhoramanseur during the Spring '08 term at SUNY Oswego.
 Spring '08
 ZhoraManseur

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