Find the fourth degree Maclaurin polynomial for the function.​​

Write the first five terms of the sequence of partial sums.​

Use the definition to find the Taylor series centered at  for the function

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 .​