Use Theorem 9.11 (p-series) to determine the convergence or divergence of the series. ​ ​

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

Use the definition to find the Taylor series (centered at c) for the function.​

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

Use the Direct Comparison Test to determine the convergence or divergence of the series

Determine the convergence or divergence of the series

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

Approximate the sum of the series by using the first six terms. Round all your answers to three decimal places.​

Use the Root Test to determine the convergence or divergence of the series

Determine the convergence or divergence of the series.​