1. Define f:R→R as follows: f(x)= x- ⌊x⌋ if ⌊x⌋ is even. f(x)= x- ⌊x+1⌋ if ⌊x⌋ is odd. Determine those points where f has a limit and justify your conclusions (using δ and ε). 2. Relevant equations 3. The attempt at a solution involved a graph of the situations of f(x). With this graph my group and I determined f(x) has a limit at x_0 iff x_0 is not an odd integer. However, we hare having a hard time proving it, and, although the graph says we are right, we must use δ and ε in a formal proof.