Here’s what Wikipedia has on the subject:
The plants are normally tall and fairly sturdy and are often mistaken for trees, but their main or upright stem is actually a pseudostem that grows 6 to 7.6 metres (20 to 24.9 ft) tall, growing from a corm. Each pseudostem can produce a single bunch of bananas. After fruiting, the pseudostem dies, but offshoots may develop from the base of the plant. Many varieties of bananas are perennial.
I guess we should determine which varieties of banana are perennial and which aren’t.