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.
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