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We make the elementary observation that the Lagrangian submanifolds of$\mathbb{C}^n$, for each $n \ge 3$, constructed by Ekholm, Eliashberg, Murphyand Smith are non-uniruled and moreover have infinite relative Gromov width.The construction of these submanifolds use exact Lagrangian caps, whichobviously are non-uniruled in themselves. This property is also used to showthat if a Legendrian submanifold inside a 1-jet space admits an exactLagrangian cap then its Legendrian contact homology DGA is acyclic.

Exact Lagrangian caps and non-uniruled Lagrangian submanifolds