Tutorial 2
Object:
Learn
how to determine whether a function is continuous or not.
(a) A function is left continuous at x=a if
the left limit equals to f(a) or
limx
→ a− f(x) = f(a)
(b) A function is right continuous at x=a
if the right limit equals to f(a) or
limx
→ a+ f(x) = f(a)
(c) A function is continuous at x=a
if the limit equals to f(a) or
limx → a
f(x) =f(a).
In particular, the left limit and the right limit must exist and
equals to each other, i.e
limx
→ a+ f(x) =limx
→ a− f(x) = limx
→
a f(x) =f(a)
Open the following
maplets.