Behavior of a function near a particular input.
The limit of a function ƒ(x) is L
as L approaches a
limx → a ƒ(x) = L
The right limit of a function ƒ(x) is A
as x approaches a from the right
limx → a+ ƒ(x) = A
The left limit of a function ƒ(x) is A
as x approaches a from the left
limx → a- ƒ(x) = A
limx → 3 2x = 6 since 2(3) = 6
Given a constant c,
If ƒ(x) = c then
limx → a ƒ(x) = c
Given a constant k:
limx → a ƒ(x)kA = k * limx → a ƒ(x)
limx → a [ƒ(x) + g(x)] =
limx → a ƒ(x) + limx → a g(x)
limx → a [ƒ(x) - g(x)] =ƒ(x) = 2x and g(x) = x2
limx → a ƒ(x) - limx → a g(x)
limx → a [ƒ(x) * g(x)] =ƒ(x) = 2x and g(x) = x2
limx → a ƒ(x) * limx → a g(x)
limx → a [ƒ(x) / g(x)] =
limx → a ƒ(x) / limx → a g(x)