Subjects/Calculus II/Sequences and series/Series and partial sumsSection 14.2Series and partial sumsFormulaCopy LaTeXn=1∑∞anView detail →converges if the sequence of partial sumsFormulaCopy LaTeXsN=n=1∑NanView detail →converges to a finite number.Necessary condition:Copy LaTeX∑an converge⟹n→∞liman=0.⟹limn→∞an=0.View detail →The converse is false.