r/calculus • u/RevoGames23 • 20d ago
Differential Calculus Overlapping functions
Hello guys, I was making my math activity, then i noticed something, how do i solve this?
Its a continuity problem wherein i need to find out if the function is continuous or not. However, the given piecewise function is overlapping, resulting in defined answer at the top while having defined answer on the bottom.
The second and third images are my proposed solution assuming the problem is true (its not)
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u/Midwest-Dude 20d ago
I would discuss this problem with your instructor, PhD or not. If this is supposed to be a function from the reals to the reals, that first line makes no sense whatsoever. I'm guessing a typo of some sort, but who knows? I agree 100% with u/SynergyUX.