Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.​

Find the third degree Taylor polynomial centered at  for the function.​​

Use the binomial series to find the Maclaurin series for the function.​​

Use the definition to find the Taylor series centered at

Write an expression for the nth term of the sequence 2, 6, 10, 14…. ​

Use the Limit Comparison Test (if possible) to determine whether the series

Find the Maclaurian series for the function .​

You analyze a potential project for your team. Considering all of the various costs and expected benefits, you decide to calculate the project’s future worth. You calculate the future worth to be $4,900, using a MARR of 10%. When you present this number to your team lead, she asks you to calculate the present worth instead. What is the most likely value for present worth for this potential project? Note: Calculations are not required to answer this question.

A project is being considered by Bulldog Engineering Incorporated (BEI). Using estimates from the engineering and finance teams, the project has a project PW of -$6,000 and a projected FW of -$18,500. EBI uses a MARR of 10% for all projects. Should EBI pursue this project? Why or why not?  

Write the term: We have referred along the way to a — which can be defined as a group of citizens—empowered by law to conduct legal proceedings, investigate potential criminal conduct, and determine whether criminal charges should be brought, and may be composed of 12 or more members — and Chapter 12 reminds us that their proceedings are secret—and always have been.