exo7 4467

1

Soient \(\sum a_n\), \(\sum b_n\), \(\sum c_n\) trois séries absolument convergentes de sommes \(A\), \(B\), \(C\).

On pose \(u_n = \sum_{i+j+k=n} a_ib_jc_k\). Montrer que \(\sum u_n = ABC\).