Dirichlet test
If decreases to with and the partial sums of are bounded, then converges.
Proposition 1.40 (Dirichlet Test)
Let be a decreasing sequence with and . Let be a sequence such that the sequence of partial sums is bounded.
Then converges.
Related
Stated in
- Proposition 1.40 (Dirichlet Test)§1.4 Series and Convergence Tests