{"articles":{"limit-of-monotone-exists@set-theory":{"content":"<p>The limit of a monotone sequence exists. Let \\(A\\) be a monotone sequence. \\[{{{\\operatorname{Lim} A}} = {{\\operatorname{LimInf} A}} = {{\\operatorname{LimSup} A}}}\\]</p>","names":[[["Limit of monotone sequence",""]]]}},"style":"Statement"}