Limit of the function - [Iran Second Round 1983]
Source:
December 30, 2010
function
Problem Statement
Suppose that
f(x)=\{\begin{array}{cc}n,& \qquad n \in \mathbb N , x= \frac 1n\\ \text{} \\x, & \mbox{otherwise}\end{array}i) In which points, the function has a limit?ii) Prove that there does not exist limit of in the point