MTH104 Limits a Formal Way by VUBuddy

Formal definition of limit

Examples We say that f (x ) approaches the limit L as x approaches x0 , and write lim x →x0 f (x ) = L,

if f is defined on some deleted neighborhood of x0 and, for every ϵ > 0, there is a δ > 0 such that

|f (x ) − L| < ϵ, whenever 0 < |x − x0 | < δ. lim