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Reply 20
Wrangler
Have you never plotted the curve y = Tan(x)?


Hmm, I guess I don't understand the word continuous then.

The characteristic which I'm talking about isn't common to y = tan x though.

_____________________ vs . . . . . . . . . . . . . . . . . . . <<< that probably doesn't make any sense... meh.
Reply 21
TomX
Hmm, I guess I don't understand the word continuous then.

The characteristic which I'm talking about isn't common to y = tan x though.

_____________________ vs . . . . . . . . . . . . . . . . . . . <<< that probably doesn't make any sense... meh.


I think your angling after discontinious at every point (in R-).
Reply 22
TomX
Hmm, I guess I don't understand the word continuous then.

If a function is continuous everywhere, then for each point c, Limx->c-f(x) = Limx->c+f(x). I.e, the limit is the same if you take it from the left or from the right.
Wrangler
If a function is continuous everywhere, then for each point c, Limx->c-f(x) = Limx->c+f(x). I.e, the limit is the same if you take it from the left or from the right.


That's true, but not quite the definition of continuity.

Those limits need to exist and both equal f(c).
Reply 24
Neapolitan
That's true, but not quite the definition of continuity.

Those limits need to exist and both equal f(c).

I did say "if it's continuous, then...". :wink:

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