Chapter 10 · Series
10.04
The Harmonic Series
1 + 1/2 + 1/3 + 1/4 + … diverges, even though its terms go to 0. It just grows very, very slowly.
About 14 minutes
You'll learn to
- →Prove the harmonic series diverges by grouping
- →Bound the harmonic partial sums with logarithms
- →Recognize harmonic-like series