@Evolving_Ego@probnstat The expression in B indeed converges to σ² as n->infty. The problem is that B) doesn't make any sense as an answer to this question: it depends on n, and we're asked about a (specidic kind of) limit *as n goes to infty*.
It's a silly trap for testing reading comprehension, really
@chris_juravich@USDescartes@SyberMath@drpkmath@AssumeTheAxiom@CPierre67 I say it depends on what you're doing. If you want to have a square root function, you need to make some choice. In real numbers, the standard is that the positive solution is chosen. In complex settings, you pick a branch.
But you can also say that 2 and -2 are both sqrts of 4.
@LukePaulPL Rzeczywiście tak to zabrzmiało. Proszę zastąpić sobie w myślach słowa "byłem zaskoczony" przez "jestem pod wrażeniem" w poprzednim wpisie (bo ja nie mam możliwości edytowania...)