In this problem, we will decide if the series below converges or diverges.

${\displaystyle \underset{n=3}{\overset{}{}}}\frac{6n^2+1}{2n^3+1}.$

A$)$ Begin by using the Ratio Test. Show that the limit in the Ratio Test is equal to $1.($This tells

us the test is inconclusive.$)$

B$)$ Determine which of the other tests $($Integral$,$ Comparison, Limit Comparison Test$)$ would be

best to try next. Write a good sentence describing why you picked the test you did.

C$)$ Execute the test you selected precisely. Be sure to show all relevant steps, as well as important

words and phrases that guide your reader through your process.

D$)$ Clearly state your conclusion.