EN
For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition $PL_{loc}(0)$ it is shown that for each real simple curve γ and each d ≥ 1 the limit variety $T_{γ,d}V$ satisfies the strong Phragmén-Lindelöf condition (SPL).