Key Problems: 9-15, 18, 21, 22, 23, 25, 35-37, 40
Problem 9
Test the series for convergence or divergence.
n=1∑∞n3+1n2−1
Problem 10
n=1∑∞n3+1n−1
Problem 11
n=1∑∞(−1)nn3+1n2−1
Problem 12
n=1∑∞(−1)nn2+1n2−1
Problem 13
n=1∑∞n2en
Problem 14
n=1∑∞(1+n)3nn2n
Problem 15
n=2∑∞nlnn1
Problem 18
n=1∑∞n2e−n3
Problem 21
n=1∑∞n!3nn2
Problem 22
n=1∑∞1+2nsin2n
Problem 23
k=1∑∞kk2k−13k+1
Problem 25
n=1∑∞2×5×8×⋯×(3n−1)1×3×5×⋯×(2n−1)
Problem 35
n=1∑∞n4−cosn
Problem 36
n=1∑∞5nn2+1
Problem 37
k=1∑∞(k+1)3klnk
Problem 40
j=1∑∞(−1)jj+5j