5.2.5. Signed rows. Sign of Leibniz

View range where u _n > 0 is called alternating. If a series converges it is said that the alternating series converges absolutely.

If the alternating row does not absolutely converge, the Leibnitz sign solves the question of its convergence: if then the alternating series converges, with the sum S of the series being positive and less than u ₁ , i.e. 0 < s < u ₁ .

If the alternating row converges, but does not converge absolutely, then they say that the series converges conditionally.