The Divergence and Integral Tests

The Divergence Test

  1. $\rhd$ The divergence test (7:56) Does the series $\displaystyle\sum_{n=1}^{\infty}\dfrac{4n^2-n^3}{7-3n^3}$ converge or diverge?
  2. * Practice: The divergence test. (4 problems)

The Integral Test

  1. $\rhd$ Integral test intuition (8:45) Does the series $\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{n^2}$ converge or diverge?
  2. $\rhd$ Worked example: integral test (4:47) The integral test. Does the series $\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{n}$ converge or diverge?
  3. * Practice: The integral test. (4 problems)