prelim1solns.dvi - Math 111 Prelim 1 Sept. 27, 2005 Name:...

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Unformatted text preview: Math 111 Prelim 1 Sept. 27, 2005 Name: Instructor: Section: INSTRUCTIONS READ THIS NOW This test has 9 problems on 11 pages worth a total of 100 points. Look over your test package right now . If you find any missing pages or problems please ask a proctor for another test booklet. Write your name, your instructors name, and your section number right now . Show your work. To receive full credit, your answers must be neatly written and logically organized. If you need more space, write on the back side of the preceding sheet, but be sure to label your work clearly. This is a 90 minute test. You are allowed to use your calculator and a 3 5 inch index card of notes. All other aids are prohibited. You DO NOT need to SIMPLIFY your answers. OFFICIAL USE ONLY 1. 2. 3. 4. 5. 6. 7. 8. 9. Total: Math 111 (Fall 2005) Prelim 1 Solutions 2 1. [16pts (4pts each)] Evaluate the following limits. You must show all your work. Note that simply plotting points is not sufficient to receive full credit. (a) lim s s 2 + 6 s- 2 = 2 + 6- 2 =- 3 (direct substitution property) (b) lim x - 3 x 2 + 2 x- 3 xe x + 3 e x = lim x - 3 ( x- 1)( x + 3) e x ( x + 3) = lim x - 3 x- 1 e x =- 3- 1 e- 3 =- 4 e 3 (c) lim t 3 t + 1- 2 t- 3 t + 1 + 2 t + 1 + 2 = lim t 3 t + 1- 4 ( t- 3)( t + 1 + 2) = lim t 3 1 t + 1 + 2 = 1 4 (d) lim x x 2 + 3 3- x = lim x x 2 x + 3 x 3 x- x x = lim x x + 3 x 3 x- 1 =- (because ( x + 3 x ) and ( 3 x- 1) - 1 as x ) CONTINUE TO NEXT PAGE Math 111 (Fall 2005) Prelim 1 Solutions 3 2. [12pts (4pts each)] The table below shows data for the population growth of a human...
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prelim1solns.dvi - Math 111 Prelim 1 Sept. 27, 2005 Name:...

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