Difficult Problem proving limsup of a sequence.

[PhysicsHelp12]

Show that lim sup (an+bn)<=limsupan +limsupbn

where (bn) and (an) are bounded...

How would you go from for n < N , sn+tn<=limsups + limsupt



to limsup(an+bn)<=limsups + limsupt ?

[PhysicsHelp12]

Nevermind I think I got it ..