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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
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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)
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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)
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Factor (A + B)3
A3 + 3A2B + 3AB2 + B3
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