Botanical name: Rhapis multifida
Common name: Finger Palm
Family: Arecaceae / Palmae
Origin: China
This is the most delicate looking of the Rhapis with very slender pointed leaflets. A very nice "patio palm" that doesn't get too large.
Similar plants: Rhapis multifida (Finger Palm)
Link to this plant:
https://toptropicals.com/catalog/uid/rhapis_multifida.htm