Question from Rahul:
I am not able to understand the following,
To prove that if for all e>0, |x|<e, then x=0, the contrapositive approach is used as follows,
assume x =/= (not equal to) 0 and hence we can take e=|x|>0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|=<e etc.
Thanks in advance!'