Let (x_n) be a sequence of real numbers. Show that either there is some subse-quence (x_nk ) with x_nk --> infinity or with x_nk-->-infinity or there is some subsequence which converges
Let (x_n) be a sequence of real numbers. Show that either there is some subse-quence (x_nk ) with x_nk --> infinity or with x_nk-->-infinity or there is some subsequence which converges