asst6 - MATH 138 Assignment 6 Due by 11 a.m Friday February...

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MATH 138 Assignment 6 Due by: 11 a.m. , Friday, February 26 Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print your name and I.D. number at the top of the first page of your solutions, and underline your last name. Submit your solutions in the same order as that of the questions appearing herein. Feel free to use the assignment templates that appear on UW-ACE. The following recommended problems from Stewart’s book and the ACE notes on limits of sequences will give you additional exposure to the limit concept for sequences. Section 11.1, pp. 586-588 # 19, 23, 27, 31, 35, 43, 57, 61, 63, 65, 68, 69. ACE notes on Limits of Sequences (revised): # 26, 27, 32, 33(c), 34, 35, 36 Hand in your solutions to the following questions. 1. We can sense that 3 + 1 n 2 9 as n → ∞ . Given any > 0 , show that if n > 7 , then 3 + 1 n 2 - 9 < . This proves from scratch that 3 + 1 n 2 9 . Hint. You know that 1 n 2 1 n always.
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