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PracticeExam1

# PracticeExam1 - Name Date 1 Q.1(Sec 10.1 Let be a positive...

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Name: ___________________________________ Date: ______________ 1. Q.1 (Sec 10.1) Let be a positive sequence such that . The following statement holds: A) The sequence is decreasing but does not converge. B) The sequence is decreasing and converging to . C) The sequence is increasing and diverging. D) The sequence is decreasing and converging to . E) none of the above 2. Q.2 (Sec 10.1) Let be a sequence such that . Use the definition of the limit and the Squeeze Theorem to find . 3. Q.3 (Sec 10.1) Evaluate the limit . 4. Q.4 (Sec 10.2) Find the th partial sums of the series and determine the sum of the series. 5. Q.5 (Sec 10.2) Find the sum of the following series; (use the sum , as necessary): A) B) Page 1

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6. Q.6 (Sec 10.2) Which of the following statements are correct for : A) The series converges since the partial sums are zero. B) The series converges since the partial sums are 1 and 0. C) The series diverges since the partial sums are 1 and 0. D) The series diverges since the general term does not tend to zero. E) Answers C and D are correct. 7. Q.7 (Sec 10.3) Verify that the conditions for the Integral Test are satisfied and use it to determine if the

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PracticeExam1 - Name Date 1 Q.1(Sec 10.1 Let be a positive...

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