Assignment:
Q1. Use the ratio an/an+1 to determine if the following sequences are monotonic increasing, decreasing or neither.
{n2/n!}
Q2. Use the derivative test to determine if the following sequences are monotonic increasing, decreasing or neither.
{n*e-n}
Q3. Use the nth term test to stae if the series converges, diverges, or cannot tell.
Σ∞n =1 n2-20/n2 + 4
Q4. Use the integral test to determine if the series converges or diverges
Σ∞k =1 {1/k - 1/k + 1}
Q5. Use the comparison test test to determine if the series converges or diverges
Σ∞k =1 3/k3+7
Q6. Use the limit comparison test with the dominant term concept to determine if the series converges or diverges.
Σ∞n =1 5n3 + 7n2 +9/(1+n3)2
Provide complete and step by step solution for the question and show calculations and use formulas.