MAT 132 Final: MAT 132 SBU Fall 16 Final

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 132
• Professor: All

Document Summary

Final exam will cover sequences, series and power series (sections 8. 1-8. 8) and will contain combined problems, where you have to use all your calculus knowledge (di erentiation, integration, and working with power series). A list of maclaurin expansions of standard functions will be given on the final exam (see the last page). Problems below are similar to the problems you may encounter on final exam. Make sure that you can handle problems from all rubrics. Comparison of asymptotic behavior of logarithm, power, exponential, and factorial: find the following limits, lim n ln n. Limit of a sequence n4: an , determine whether the sequence {an} , an = cos n ( 1)nn2 ( 1)n + 2n2. 2 + 3 n: an = f ) an , an = n n, an = n arctan n=1 converges or diverges. If it converges, nd the limit. n (cid:19)n: an = (cid:18) n 3, an = n 32 3n.