MATH 2310H Midterm: MATH 2310 UGA 2310-Exam3Review_18

• School: University of Georgia
• Department: Mathematics
• Course: MATH 2310H
• Professor: All

Document Summary

Exam 3 - practice questions: determine whether the sequence converges or diverges. Nd the limit. (a) an = n ln n n2 + 1 (b) bn = (1 + 2n)1/n (c) cn = cos n. N: test the series for convergence or divergence. (a) (e) 5n + n: test the series for convergence or divergence. (a) Xn=1 ln(1 + n 2: find the radius of convergence and interval of convergence of the power series. (a) (d) 3nxn (n + 1)2 (x 2)n nn: find a power series representation for the function and determine the interval of convergence. (a) f (x) = 1 (1 + x)2 (c) h(x) = x ln(1 + x: find the series" interval of convergence and, within this interval, the actual sum of the series as a function of x. (a)