Being the author of a few 'EVIL INTEGRALS' from https://dailyintegral.com/ (from EVIL INTEGRAL $3$ to $6$), I empassion doing calculus albeit none being done yet on Stack Exchange.... I do like geometry, algebra pre calculus, upto a degree. I generally find solving functional equations one of my best pastimes: compiling them, solving them, and analyzing the results...

Drive link of the proofs of the $\text{EVIL INTEGRALS} $.

Feeling an insatiable urge to be evil, yet bound by an innate sense of mathematical duty? Thinking about confusing someone, only to be reminded of your own mathematical clarity?

Don’t worry, we have the just the thing you’re looking for! Just pick your unwilling victim (whom we will call Victor, for paradoxical reasons), and you’re ready to go.

First explain $0.999…=1$ to Victor. If he seems appalled by this, well, you’ve used mathematical truth to disturb his mental peace! What could be better?

But then comes the actual deal, the thing which will actually set Victor’s head spinning around like a merry-go-round!

Ask Victor (politely, of course) to take the floor of $0.999…$ . And you’re done.

Sit back and enjoy, as Victor confuses between $\left\lfloor\lim \limits_{n→+∞}1−\dfrac{1}{10^n}\right\rfloor$ and $\lim \limits_{n→+∞} \left\lfloor1−\dfrac{1}{10^n}\right\rfloor$...

Contact: dhairya0608_69018 (Discord) & [email protected] (Gmail)