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## Homework Statement

Let f: N -> N be a bijective map. for n Є N

a sub n = 1 / f(n)

Show that the sequence (a sub n) converges to zero.

## Homework Equations

## The Attempt at a Solution

Basically I have been stuck on this problem for hours now and have read through my notes and the course textbook numerous times and am still not getting anywhere. I sort of get how to apply the definition of a convergent sequences to a few other questions but my understanding of this topic is clearly pretty poor.

Can someone give me a hint either as a question to get me started or some material available that would clarify this for me ?

Thanks in advance