I bought lime tree last year. Very few blooms - blooms do not result in fruit. Tree is in large container in sun or in garage during winter.
No Fruit on Lime Tree
Certified GKH Gardening Expert
There are several reasons this might be happening. I would try giving it some phosphorus, as this is one of the more common reasons. This article will suggest some others: https://www.gardeningknowhow.com/edible/fruits/lime/reasons-and-fixes-for-lime-tree-not-producing-blossoms-or-fruit.htm