MAC 2312 Midterm: MAC2312 C98 Test 3
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Do not write your answers on this page. Write your solutions in the examination book provided. Write only on the front side of each page: (15 pts. ) Find the taylor polynomial of order 4 centered at x = 1 for f (x). Write the taylor polynomial of order n centered at x = 1 for f (x): (10 pts. ) lim x 0. X ln x : (10 pts. ) lim x 0+ 1 x: (10 pts. ) lim n 0 (1 n) , write the rst ve terms of the sequence, starting with a1. Determine if the sequence converges or diverges. lim an =. If it converges, nd the limit n : (10 pts. ) Find an explicit formula for the nth term an of the sequence, starting with a1. If it converges, nd the limit lim an =. n .
