Math Help - Real Analysis - Functional Limits #3

Using the ε-δ characterization of continuity, prove that:

lim as x --> Pi of [[x]] = 3, where [[x]] denotes the greatest integer less than or equal to x.

Originally Posted by ajj86

Using the ε-δ characterization of continuity, prove that: lim as x --> Pi of [[x]] = 3, where [[x]] denotes the greatest integer less than or equal to x.

Just take note that: .