Day 31 in MAT229

Today:

• Announcements:
  • Have a great spring break!

• Section 11.3: The Integral Test is another way to show that an infinite series converges (by comparison with real-valued functions).

  Let's take a look at this Integral test (pdf)

  • In particular I want to look at the so-called "harmonic series", and show why it is divergent.
  • Then we'll see a "practical application" of this -- Dominoes (here's my page) -- and here's a more elegant page in Mathematica: Divergence of the harmonic series (and dominoes!)