I'm reading about sequences in Topology and I do not know how to solve this

let have the left ray topology

a) dose the sequence given by converges if so to what point or points

from definition f converges to if far all open in left ray topology and there exist such that if then

ok if we take 1<= x in R and take U contains x take so any we have

so f converges to all x>=1 is this right or not