a given series converges or diverges by selecting an appropriate comparison series, verifying that both the
comparison series and given series have positive terms, determining whether the comparison series converges
or diverges, and comparing the two series' general terms either directly or via a limit.
7. Use the Direct Comparison Test or the Limit Comparison Test to determine whether the following series
converge or diverge:
(a)
n-1
1-2 √³+1²
n-1
n+3"
22
1+n6/nΞ
Ε
(1) Σ
htt
hea + Α
+2²² +1
/n? + 1 +8° + In(n)
5" – cos(n) – ne
Fig: 1
Fig: 2