Fork me on GitHub
Math for the people, by the people.

User login

Dirichlet's convergence test

Type of Math Object: 
Theorem
Major Section: 
Reference

Mathematics Subject Classification

40A05 no label found

Comments

Should the second line be the summation from i=0 to i=n-1 and the summation from i=0 to i=m-2?

Also, in the last line, $ \vert\sum_{i=m}^n a_ib_i\vert<\epsilon$ < infinity, therefore $ \sum a_nb_n$ converges?

Thanks.

Agree with first comment; the sums are not correctly indexed.

Re the last line, it is correct, but you are using the Cauchy criterion: I recommend you quote it.

Subscribe to Comments for "Dirichlet&#039;s convergence test"