Poll of the Day > Anyone here good at math

(+) Yeah! (+)

Yeah hi can you explain continuity in limits in like the next 5 minutes please yeah thank you
---

Man you really hate being responsible and doing your own work, huh

Maybe those song lyrics really arent a good idea
---

Dude what are you talking about? it's not like I'm posting the math problems?
---

Generally, a function f: R -> R is continuous at a if the limit of f(x) as x -> a is equal to f(a).
---

o wait I missread the question I meant removable discontinuity
---

khan academy on youtube
---

I never went to school but I'll do my best! 2+2=.....5 I think....
---

continuity is like y=x^2 where you get a nice smooth parabola that extends to infinity in both directions

discontinuity is when for some reason you don't have a smooth line/curve and there's a break. easy way to get one is with a piecewise function, say something like y = { x = 0, 100; x != 0, x^2 }. then there's a "hole" in the parabola at x = 0 and there's a point in the middle of nowhere at (0, 100).

"removeable discontinuity" means there's a way to get rid of the "hole". the limit of the above function taken from both sides of the hole both approach the same value (0). so the limit at that point is 0, even though evaluating the function at that point would give you 100 instead.
---

Sahuagin posted...

continuity is like y=x^2 where you get a nice smooth parabola that extends to infinity in both directions

discontinuity is when for some reason you don't have a smooth line/curve and there's a break. easy way to get one is with a piecewise function, say something like y = { x = 0, 100; x != 0, x^2 }. then there's a "hole" in the parabola at x = 0 and there's a point in the middle of nowhere at (0, 100).

"removeable discontinuity" means there's a way to get rid of the "hole". the limit of the above function taken from both sides of the hole both approach the same value (0). so the limit at that point is 0, even though evaluating the function at that point would give you 100 instead.

Oh Ok. I already finished my homework but hey thanks for helping me out when these MEANIES kept making fun of me
---

*gives TC a swirly*