0.999… repeating (or 0.9‾0.\bar{9}) is equal to 1. It’s a fact. To some, this is highly counterintuitive, unbelievable even. I’ve seen various explanations for how it works, from informal explanations to formal proofs. I recently found an interesting (not original) proof, but first I’ll give a couple less rigorous explanations. Informal arguments Tripling a third…
Tag: real numbers
How do you graph something in 4D?
This post is a brief explanation for non-experts of a graphing technique you might have seen but not completely understood. As always, we’ll go over some necessary concepts first. Complex numbers If we want to solve an equation like x2+1=0, we get stuck because we need to take the square root of -1, but no…
