1. Math
3. let e be a nonempty subset of reals and let...

# Question: let e be a nonempty subset of reals and let...

###### Question details

Let E be a nonempty subset of Reals and let p be a limit point of E. Suppose f is a bounded real-valued function on E having the property that :

does not exist.

Prove that there exist sequences {pn} and {qn} in E with

such that and exist, but are not equal.