Current Events > Who is ready for a brutal calculus (real analysis) limit problem?

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FLOUR 03/18/21 5:22:36 PM #1:	Note this is just a warm up. Define f(x) as follows. f(x)=0 if x is irrational and f(x)=1 if x is rational. Prove that the limit does not exist at any point. Reminder this is just the warm up problem. It gets worse. --- You don't want to play cards with me because I'll cheat. You wanna play 21? I've got 22! <cite>FLOUR posted [p:951856499] in Who is rea... [t:79356039]...</cite> <quote>Note this is just a warm up. Define f(x) as follows. f(x)=0 if x is irrational and f(x)=1 if x is rational. Prove that the limit does not exist at any point. Reminder this is just the warm up problem. It gets worse. </quote> ... Copied to Clipboard!
nothanks1 03/18/21 5:24:02 PM #2:	I could ask one of the math teachers <cite>nothanks1 posted [p:951856538] in Who is rea... [t:79356039]...</cite> <quote>I could ask one of the math teachers</quote> ... Copied to Clipboard!
UnholyMudcrab 03/18/21 5:24:56 PM #3:	Something something differential, something something x approaches y --- https://imgur.com/VeNBg https://imgur.com/gd5jC8q https://imgur.com/PKIy7 https://imgur.com/3p29JqP <cite>UnholyMudcrab posted [p:951856568] in Who is rea... [t:79356039]...</cite> <quote>Something something differential, something something x approaches y</quote> ... Copied to Clipboard!
Phynaster 03/18/21 5:25:44 PM #4:	f(x) is the room outside --- Rebel <cite>Phynaster posted [p:951856602] in Who is rea... [t:79356039]...</cite> <quote>f(x) is the room outside </quote> ... Copied to Clipboard!
SPE 03/18/21 5:25:53 PM #5:	x = 0/f x = 0/f rational and irrational merge and form a ying yang, so x = 0f0 0f0 means sun shadows smiley --- Welcome to the Spore Store! My shrooms are delicious, suspicious, but never malicious! <cite>SPE posted [p:951856610] in Who is rea... [t:79356039]...</cite> <quote>x = 0/f x = 0/f rational and irrational merge and form a ying yang, so x = 0f0 0f0 means sun shadows smiley </quote> ... Copied to Clipboard!
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NightRender 03/18/21 5:30:26 PM #7:	It's something like, for whatever c x is approaching, there is some number within episilon of it that is the opposite rationality of f(c), so can't shrink delta more than 1. That can probably be cleaned up and worded smarterly. I haven't written a proper proof in years, let alone an epsilon delta proof. --- Dedicated to D - 4/15/05 <cite>NightRender posted [p:951856777] in Who is rea... [t:79356039]...</cite> <quote>It's something like, for whatever c x is approaching, there is some number within episilon of it that is the opposite rationality of f(c), so can't shrink delta more than 1. That can probably be cleaned up and worded smarterly. I haven't written a proper proof in years, let alone an epsilon delta proof. </quote> ... Copied to Clipboard!
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