MATH 1B Midterm: MATH 1B Harvard Solutions2s00
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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: (18 points) compute the following limits, with justi cation. X2 + 1 x2 + 7 (i) lim x (ii) lim x /2+ tan(x) 1 (iii) lim x 1 x 1 ex. 2: (8 points) let f be the function f (x) = sin(x) (a) use the intermediate value theorem to show that there exists a point c in x.
