Persian Lime trees thrive in climates that feel like perpetual summers, and bear the most fruit between July and September. Persian Lime is an evergreen, vigorous tree that can grow 15 feet to 20 feet tall when planted in ground, with width of 5 feet to 10 feet wide when it reaches maturity.. The Persian Lime tree is also an excellent specimen to grow on your patio in a container since they are known for being very low maintanence. This particular lime tree will produce fruit on its own however if you plant another lime tree in its vicinity you can expect your yield to nearly double. (USDA Zones 8a-11b)