THE IDEA OF CONTINUITY
, Continuity
The relationship between limits, continuity and a defined functio
often confusing to many students at their first encounter of these
concepts. A gradual simplification is presented as follows.
For example:
𝑥, 𝑓𝑜𝑟 𝑥 < 2
The function 𝑓 𝑥 = ቊ
𝑥 − 3 𝑓𝑜𝑟 𝑥 > 2
Has the graph
, 2 B D
x
2 0 2 4 6
-2 c
A