Graph of x^x For negative x values.Watch

13 years ago
#21
(Original post by 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.
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13 years ago
#22
(Original post by 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-).
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13 years ago
#23
(Original post by 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.
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13 years ago
#24
(Original post by 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).
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13 years ago
#25
(Original post by 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...".
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