Just doing what comes naturally. Our Bonfire Night (5th Nov) is a celebration of the last time we tried it on our own parliament. It didn't work that time, though.
There it's justified by various theorems that start with "if a series is absolutely convergent...". 1+2+3+4+... manifestly isn't, and I think Jesse is exactly correct: there may be a justification for your manipulations, but the mere fact that they look like finite arithmetic isn't it. And...
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