2006-10-03 15:48:58 · 4 answers · asked by silverfire 1 in Education & Reference ➔ Higher Education (University +)
It means that lim x->c f(x)=f(c) for all values of c. It pretty much means that there are no holes in the function. For example f(x)=1/x would not be continuos since there is no value for 0.
2006-10-03 15:56:11 · answer #1 · answered by Molly 2 · 0⤊ 0⤋
Depending on the level of math class you are asking about continuity means different things. It basic algebra/calculus courses a continous function is one that can be graphed without lifting a pencil. That is the simple answer. However if you are talking about advanced calculus and other more advanced mathematics classes then the definition is as follows. For epilson greater than 0 there exist a d greater than zero such that the absolute value of x-dx is less than delta implies f(x)-f(dx) is less than epilson.
2006-10-03 15:59:41 · answer #2 · answered by Terra D 1 · 0⤊ 0⤋
a small change in x will create a small change in y...theres no break...
(a small change in the input will create a small change in the output)
2006-10-03 15:57:12 · answer #3 · answered by xtcwmeg 3 · 0⤊ 0⤋
non ending-or repetitive cycling.
2006-10-03 15:54:35 · answer #4 · answered by inquisitive 4 · 0⤊ 0⤋