Show that 1/x is continuous on at any c =/= 0
hint: chose delta to stay away from 0
i have a general idea of how it works but I'm not really sure how to
"use delta = min{[c]/2,c^2(e/2)} "(answer from book)
Did you try writing out the definition?
....how look that the . It's because obviously we want to restrict our attention so that we may apply some estimation (i.e. on "whatever" neighborhood of c it is always true that "whatever" is less than or equal to "whatever else"). Also, use that in conjunction with the fact that you really only care about bounding for one can make as arbitrarily small as one wants.