UMGC  University of Maryland Global Campus                     Dr

UMGC 

University of Maryland Global Campus                     Dr. A Mohamed

                                                           MATH 141 6381-Calculus II                                                                                                               Fall 2020

                                                                                   Quiz #6 (100 pts)                                                                                                                     09/30/’20

(Show all your work to get full credit)

1. (20 pts) Determine whether the given sequence diverges or converges, and if it does, find the limit.

a. 2n sinπn1∞

b. 1n2+1  -  n1∞

2. (80 pts) Determine whether the series converge or diverge. For convergent series, find the sum of the series.

a. 0∞-1n3n

b. 1∞lnnn

c. 1∞1n n + 1

d. 1∞1n  +  n - 1

e. 1∞nn + 1

f. 1∞5n + 12n + 1

g. 1∞1n3 -  5n

h. 0∞1n2 +  1