MATH 1A Midterm: MATH 1A Harvard 1a Midterm1 2004 Fall Solutions
Document Summary
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) By the limit laws, we have lim x 1 x19 + x 1 arctan(x) 4 (ii) lim x (cid:16)px4 + 19 x2(cid:17) We can multiply and divide by the conjugate radical: X4 + 19 + x2 lim x (cid:16)px4 + 19 x2(cid:17) = lim x (cid:16)px4 + 19 x2(cid:17) (x4 + 19) x4.
