TB_limitandcontinuous(1).pdf - AP Calculus BC Test Booklet...

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AP Calculus BC Test Booklet limit and continuous Name Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 1 of 14 1. Let be the function defined above. Which of the following conditions explains why is not continuous at ? A Neither nor exists. B exists, but does not exist. C Both and exist, but . D Both and exist, and . 2. Let be the piecewise function defined above. Which of the following statements is false? A is continuous at . B is continuous at . C is continuous at . D is continuous at . 3. Let be the function defined by . Which of the following statements about at and is true?
AP Calculus BC Test Booklet limit and continuous Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 2 of 14 A has a jump discontinuity at , and is continuous at . B has a jump discontinuity at , and has a removable discontinuity at . C has a discontinuity due to a vertical asymptote at , and is continuous at . D has a discontinuity due to a vertical asymptote at , and has a removable discontinuity at . 4. Let be the function defined above. Which of the following conditions explains why is not continuous at ? A Neither nor exists. B exists, but does not exist. C Both and exist, but . D Both and exist, and .
AP Calculus BC Test Booklet limit and continuous Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 3 of 14 5. The graph of the function is shown above. What are all values of for which has a removable discontinuity?

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