Prove if lim(x sub n)=x and x>0 then there exists a natural number M such that x sub n > 0 for all n> or equal to M
Any hints on how to start this or what the end result should be would be greatly appreciated, thanks.
What we do is choose a particular value to ensure that is positive from onwards. We do this by choosing any value of then as for all we have:
But , so: