A functionf is said to be ["differentiable on the left", "continuous on the right", "differentiable on the right", "linear", "continuous", "continuous on the left"] at x=c if limxc+f(x)=f(c).

A function f is said to be ["linear", "differentiable on the right", "continuous on the left", "continuous on the right", "differentiable on the left"] at x=c if