MATH 1B Midterm: MATH 1B Harvard Exam1 s99
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Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Please check your section: (cid:3) 1. 0 mwf10 tatyana chmutova (cid:3) 1. 1 mwf10 matthew leingang (cid:3) 2. 0 mwf11 ethan cotterill (cid:3) 3. 0 mwf12 matt bainbridge. T 10 chun-chun wu (cid:3) 4. 0 (cid:3) 4. 1 (cid:3) 4. 2 (cid:3) 5. 0 t 11:30 derek bru (cid:3) 5. 1 t 11:30. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. 1: (12 points) find the following limits. (i) lim x 1 x19 + x 1 arctan(x) (ii) lim x (cid:16)px4 + 19 x2(cid:17) 1 (iii) lim x 19 x3 19x2 x + 19 x 19. Justify your answers. (b) (3 points) finish up the proof with two magic words. 3: (10 points) de ne the signum function sgn(x) = .
