Limits

1
Limits

• When we write limx-gta f(x) L, we mean,
  informally, that when x is close to a, then
  f(x) is close to L.
• The problem with this as a definition is the
  ambiguity associated with the phrase is close
  to.

2
Problems with Limits

• F(x) may approach a different number from the
  right side of c than from the left side.
• F(x) may increase or decrease without bound as x
  approaches c.
• F(x) may oscillate between two fixed values as x
  approaches c.