Calculus 2- Series Convergence

Mar 11, 2025

There are typically 10 tests for convergence (there are actually way more!) taught in Calculus 2. They are:

  • Limit Test
    • also called Divergence Test
    • also called Nth Term Test
  • Integral Test
  • P-Series Test
  • Direct Comparison Test
    • also called [just] Comparison Test
  • Limit Comparison Test
  • Alternating Series Test
  • Telescoping Series Test
  • Exponential Test
  • Ratio Test
  • Root Test

In the first video of the Series on Series, I use P-Series Test and Limit Comparison Test to prove that the Series Converges. In the videos to come, my goal is to use each test at least once! 

Blessings y'all

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