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PS8b - MIT OpenCourseWare http/ocw.mit.edu 18.01 Single...

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MIT OpenCourseWare http://ocw.mit.edu 18.01 Single Variable Calculus For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Fall 200 6
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18.01 Problem Set 8B Due Friday 12/08/06, 1:55 pm Part I (20 points) Lecture 34. Fri. Dec 1 Indeterminate forms; L’Hospital’s rule, growth rate of functions. Read: 12.2, 12.3 (Examples 1-3, remark 1) Work: 6A-1befgj, 5, 6c Lecture 35. Tue. Dec. 5 Improper integrals. Read: 12.4, Notes INT Work: 6B-1,2,7afkm, 8c Lecture 36. Thurs. Dec. 7 Infinite series; simple convergence tests Geometric series; harmonic series. Read: pp. 439-442(top) Comparison tests. pp. 451-3 (skip proof in Example 3) Integral test. pp. 455-457(top) Work: 7A-1abc; 7B-1abf 7B-2acde Lecture 37. Fri. Dec. 8 Taylor series. Read: 14.4 through p. 498 (bottom); skip everything involving the remainder term R n ( x ). Differentiation and integration of series. Read: 14.3-p.490(top); Examples 1-5. Work: see handout with remarks about the final exam Lecture 38. Tues. Dec. 12 Final Review.
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