MA 123 CH 3

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Author:
clydethedog
ID:
25022
Filename:
MA 123 CH 3
Updated:
2010-06-28 21:16:11
Tags:
CALCULUS
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Description:
UK
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  1. basic definition of a limit
    • lim x --> c f(x) = L
    • as x gets closer and closer to c, but not equal to c, the values of f(x) get closer and closer to the value L
  2. continuity
    • a function f is continuous at a point x = c if
    • lim x-->c f (x) = f (c)
    • (it has no holes, jumps or gaps)
  3. differentiability
    • a function f is said to be differentiable at x = c if the limit
    • lim x-->c (f(x) - f(c)) / x - c exists
    • (at any point there is a well defined tangent line, smooth, no sharp points)
    • *if differential it must be continuous (but reverse isn't true)
  4. Factor (A + B)3
    A3 + 3A2B + 3AB2 + B3

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