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Chewy0087
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EDIT: just realized i might've been really stupid;
very simple question which will answer my stupidly long question;
is f(x) = 1 continuous?]
The reason I ask is that my book says;
[tex] f(x,y) \in C^{N}[/tex] in R [tex]\Leftrightarrow \frac{\partial ^{n} f}{\partial x^n} , \frac{\partial ^{n} f}{\partial x^{n-1}\partial y}, etc \in C[/tex] in R.
however you can imagine for f (x, y) = x which IS continuous,
f1(x, y) = 1 , would this be considered continuous, and if not, isn't that at ends with the definition above?
very simple question which will answer my stupidly long question;
is f(x) = 1 continuous?]
The reason I ask is that my book says;
[tex] f(x,y) \in C^{N}[/tex] in R [tex]\Leftrightarrow \frac{\partial ^{n} f}{\partial x^n} , \frac{\partial ^{n} f}{\partial x^{n-1}\partial y}, etc \in C[/tex] in R.
however you can imagine for f (x, y) = x which IS continuous,
f1(x, y) = 1 , would this be considered continuous, and if not, isn't that at ends with the definition above?
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