Final answer:
The type of forest described is a 'tropical rainforest,' characterized by year-round evergreen vegetation and high biodiversity.
Step-by-step explanation:
The forest type that is typically aseasonal, has high precipitation, a multi-layered closed canopy, and diverse flora and fauna is the tropical rainforest. Found in equatorial regions, tropical rainforests are highly diverse and characterized as being evergreen year-round. Plants here have spreading roots and broad leaves that fall off throughout the year. This is in contrast to the trees of temperate or deciduous forests, which lose their leaves seasonally. Therefore, the correct answer is a) Tropical rainforest.