Is ∑ n=1
[infinity]
​
n 3
n+1
​
convergent or divergent? Show your reasoning. 2. (1) Use the integral test to determine if ∑ n=1
[infinity]
​
n 3
1
​
converges or diverges? (2) Use the sum of the first 5 terms to estimate ∑ n=1
[infinity]
​
n 3
1
​
. (3) How good is the estimate? Find the upper bound of R 5
​
. 3. ∑ n=1
[infinity]
​
n 3
+n 2
+1
2n+5
​
converges or diverges? Show your reasoning.