127testsolI - MAT 127 FALL 2007 MIDTERM I ! WRITE YOUR...

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MAT 127 FALL 2007 MIDTERM I !!! WRITE YOUR NAME, STUDENT ID AND LECTURE N. BELOW !!! NAME : ID : LECTURE N. THERE ARE 10 MULTIPLE-CHOICE PROBLEMS. THEY HAVE THE INDICATED VALUE. DO NOT TEAR-OFF ANY PAGE NO CALCULATORS NO PHONES ON YOUR DESK: ONLY test, pen, pencil eraser. 1 25pts 2 25pts 3 25pts 4 25pts 5 25pts 6 25pts 7 25pts 8 25pts 9 25pts 10 25pts Total 250pts 1
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2 !!! WRITE YOUR NAME, STUDENT ID AND LECTURE N. BELOW !!! NAME : ID : LECTURE N. 1. Let a n be a convergent sequence such that lim a n = L. Define a new sequence b n = 2 - a n . Then lim b n = a A. L B. L - 2 C. 2 - L D. 2 L E. - 2 L F. L 2 C The limit of 2 - a n is 2 - L.
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3 2. The sequence a n = e n - e - n is A. Bounded and monotonic. B. Bounded. C. Monotonic decreasing. D. Bounded and monotonic increasing. E. Bounded below. F. Bounded below and monotonic decreasing. E The sequence is positive, hence bounded below. It is not decreasing. It is not bounded.
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3. Find the sum of the series - 2 9 + 2 27 - 2 81 + 2 243 ... (assuming that the given pattern continues).
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This note was uploaded on 07/27/2009 for the course MAT 126 taught by Professor Sutherland during the Spring '07 term at SUNY Stony Brook.

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127testsolI - MAT 127 FALL 2007 MIDTERM I ! WRITE YOUR...

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