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MT1 - ECE 302 Midterm#1 6:30-7:30pm Thursday February 5...

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ECE 302, Midterm #1 6:30-7:30pm Thursday, February 5, 2009, EE 170, 1. Enter your name, student ID number, e-mail address, and signature in the space provided on this page, NOW! 2. This is a closed book exam. 3. This exam contains multiple choice questions and work-out questions. For multiple choice questions, there is no need to justify your answers. You have one hour to complete it. The students are suggested not spending too much time on a single question, and working on those that you know how to solve. 4. There are 13 pages in the exam booklet. Use the back of each page for rough work. 5. Neither calculators nor help sheets are allowed. Name: Student ID: E-mail: Signature:
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Question 1: [15%] Consider a sequence p k such that for any integer k , we have p k = 3 -| k | 2 . Let F ( m ) = m k = -∞ p k . 1. [8%] Find the expression of F ( m ) for m 0. 2. [7%] Find the value of k = -∞ p k e 0 . 1 k . Hint: The infinite sum of a geometric series is as follows.
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