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Calculus 1 Test 2

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valleystudent84's version from 2015-09-22 05:38

Section

Question Answer
Continuous on a SPECIFIC PT if (3 things)1 Function avlue DOES exist at that pt, 2 Limit DOES exist, 3 Func Value = Lim value
Continuous over an INTERVAL if ...function on closed interval [A,B] than func IS continuous on (A,B)
Continuous if Lim from left is _ to Lim from right=
Removable Discontinuity - Defineif only one POINT is discontinuous (must be same pt from both limits)
Intermediate value theorem constraints (2)1 Function is CLOSED between [A,B] - 2 Func(a) NOT = to func(b)
Polynomials are _ applicable to the IVTALWAYS (continuous over entire domain)
"plug" a removable discontinuity by ...Creating a piece wise func that fills in gap
(Lim x-> 0) sinx/x = ?1
(Lim x-> 0) 1-cosx/x = ?0
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