MathDB

6

Part of 1983 Iran MO (2nd round)

Problems(1)

Limit of the function - [Iran Second Round 1983]

Source:

12/30/2010
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 ff in the point x=0.x=0.
function