Infinite sums Memes

The bell curve of mathematical understanding strikes again! In the middle, we have the screaming purist who understands that integrals and infinite sums are fundamentally different mathematical constructs (despite their connections). Meanwhile, at both tails of the distribution, we find the "geniuses" who confidently declare they're the same thing. This is the mathematical equivalent of watching someone put pineapple on pizza – technically possible, but it'll make certain people lose their minds. The beauty here is that both the clueless beginners and the advanced mathematicians reach the same conclusion, just for wildly different reasons. One through ignorance, the other through some esoteric measure theory that the rest of us mere mortals will never comprehend.