Comparison Tests

  1. $\rhd$ Direct comparison test (4:30) An introduction.
  2. $\rhd$ Worked example: direct comparison test. (4:54) Determine whether the series converges or diverges: $\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{2^n+n}$.
  3. * Practice: Direct comparison test. (4 problems)
  4. $\rhd$ Limit comparison test (6:52) Determine whether the series converges or diverges: $\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{2^n+1}$.
  5. $\rhd$ Worked example: limit comparison test. (7:18).  What series should we use in the limit comparison test in order to determine whether $\displaystyle\sum_{n=1}^{\infty}\dfrac{2^n}{3^n-1}$ converges?
  6. * Practice: Limit comparison test. (4 problems)