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Question:

Is [tex] f(x)=\mid{x}\mid [/tex] continuous?

I have been looking online and got a few different answers. My calc B.C. teacher last year claimed that [tex] f(x)=\mid{x}\mid [/tex] is continuous everywhere except at x=0. My current 115 teacher maintains that anyone under that impression deserves to be boiled in their own pudding. It seems to me that it would make sense that it is continuous, but that is from a conceptual view rather than mathmatical defintion.

If anyone has any proof please tell me and provide link to site confirming it. Especially if it is not continuous at 0.

Is [tex] f(x)=\mid{x}\mid [/tex] continuous?

I have been looking online and got a few different answers. My calc B.C. teacher last year claimed that [tex] f(x)=\mid{x}\mid [/tex] is continuous everywhere except at x=0. My current 115 teacher maintains that anyone under that impression deserves to be boiled in their own pudding. It seems to me that it would make sense that it is continuous, but that is from a conceptual view rather than mathmatical defintion.

If anyone has any proof please tell me and provide link to site confirming it. Especially if it is not continuous at 0.

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