Review Limits When you see the words… This is what you think of doing…  f is continuous at x = a  Test each of the following 1.

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Presentation transcript:

Review Limits When you see the words… This is what you think of doing…  f is continuous at x = a  Test each of the following 1

Review Limits When you see the words… This is what you know…  f has an infinite discontinuity at x = a * 2

Review Limits When you see the words… This is what you know… f has a jump discontinuity at x = a -- 3

Review Limits When you see the words… This is what you know… f has a removable discontinuity at x = a -- 4

Review Limits When you see the words… This is what you know… Squeeze Theorem  If f(x) <= g(x) < h(x) and 5

Review Limits When you see the words… This is what you know… Intermediate Value Theorem  If f is continuous on [a,b] and k is between f(a) and f(b), then there exists a c in [a,b] such that f( c ) = k 6

Review Limits When you see the words… This is what you know… Extreme Value Theorem  f has a maximum and a minimum value in the interval [a, b] 7

Review Limits When you see the words… This is what you know… The graph of f has a horizontal asymptote at y = k -- 8

Review Limits When you see the words… This is what you know… The graph of f has a vertical asymptote at x = a -- 9

Review Limits When you see the words… This is what you know… - 11 10

Review Limits When you see the words… This is what you know… - 00 11

Review Limits When you see the words… This is what you know… -  Does not exist 12

Review Limits When you see the words… This is what you know… - 00 13

Review Limits When you see the words… This is what you know… - ee 14

Review Limits When you see the words… This is what you know… -  Lim does not exist 15

Review Limits When you see the words… This is what you know… - 11 16