Home/Calculus II/Series and partial sums/Necessary condition:14.2. Series and partial sumsNecessary condition:In 14.2. Series and partial sumsFormulaCopy LaTeX∑an converge⟹limn→∞an=0.\sum a_n\text{ converge}\quad\Longrightarrow\quad \lim_{n\to\infty}a_n=0.∑an converge⟹n→∞liman=0.Tagsantiderivativetest convergenceseriessequences series series and sums partialVariablesaaaConstante real (a menudo a>0a>0a>0)nnnExponente o índice enteroConditions⟹\Longrightarrow⟹limn→∞an=0.\lim_{n\to\infty}a_n=0.limn→∞an=0.Found an error? Contact us.Related formulasRelatedFormulasN=∑n=1Nans_N=\sum_{n=1}^{N}a_nsN=n=1∑NanOpen formulaOpen in sectionRelatedFormula∑n=1∞an\sum_{n=1}^{\infty}a_nn=1∑∞anOpen formulaOpen in section