EDIT: just realised i might've been really stupid;(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Continuous Function?

**Physics Forums | Science Articles, Homework Help, Discussion**