2007-10-25 13:34:56 · 4 answers · asked by Sean R 1 in Science & Mathematics ➔ Mathematics
1. The function must be defined at the number
2. The limit as x approaches the number must exist.
3. The limit must equal the function at the number.
2007-10-25 13:43:42 · answer #1 · answered by Demiurge42 7 · 3⤊ 1⤋
That the left- and right-hand limits exist and are equal to the value of the function at that number
2007-10-25 13:39:45 · answer #2 · answered by e2theitheta 2 · 0⤊ 0⤋
To be continuous at x,
f(x) must exist and the right hand limit and left hand limit are both equal to f(x)
2007-10-25 13:43:21 · answer #3 · answered by Marvin 4 · 0⤊ 0⤋
It must be evaluated to have a value at the number,
It must have a value incrementally before and after the number, as well.
2007-10-25 13:38:39 · answer #4 · answered by Jason 2 · 0⤊ 1⤋