#calc
#Calc help
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unique bridgeBOT
#calc
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iron flame
#calc
A function f(x) is left-continuous if f(x-) = f(x), and is right-continuous if f(x+) = f(x).
random cloak
So would it be function f(x) is left continuous at X=1 when c=1?
iron flame
So would it be function f(x) is left continuous at X=1 when c=1?
Yes, and thus it's left continuous everywhere in that case, as the pieces are continuous themselves.
And what about right continuous?
random cloak
I’m assuming right would be x=1 when c = -1?
iron flame
Yeah, nice!
So, using that information, can this function be continuous for some value of c?
random cloak
Yes?
iron flame
Well, no, actually.
A continuous function needs to be both left and right continuous at the same time.
random cloak
Ah
iron flame
And as this function is left and right continuous for different values of c, it can't ever be continuous.
iron flame
Nice, you're welcome!
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+close