Trees that are frost sensitive won't grow where it snows on a regular basis and where the snow stays on the ground. Occasionally it will snow in temperate areas, but it's an unusual occurrence and not the normal weather. Even fruit trees that thrive in cold winter areas, such as apple and pear trees, will have their fruit damaged by a late frost in the spring. Check the hardiness zone where you live for fruit trees that do well in your area.
All varieties of orange trees are cold sensitive. The tree may survive a night or two of frost or temperatures below freezing, but any more than that and the tree will die. Some types of oranges trees handle the cold a little better than others, but none of them will grow in snow country. Other citrus fruit that won't grow outside in cold winter areas are lemon, lime, grapefruit and tangerine. Dwarf citrus, which is a standard-size fruit tree grafted onto a dwarf trunk grafted to rootstock (yes that's three different grafts), will grow in containers inside during cold winters if they get at least eight hours of sunlight. The trees must be pollinated by hand to set fruit.
Tropical fruit trees including mango, banana and coconut will not grow where it gets below freezing. Tropical fruit trees require warm temperatures and high humidity to thrive. Because these trees grow to 20 or more feet in height and usually don't come in dwarf varieties, it would be difficult for them to set fruit if grown indoors. Mango is the exception. There are a few dwarf varieties that don't grow over 12 feet tall. The standard-size mango will grow over 50 feet tall. Banana trees, which are actually very tall perennials rather than trees, won't survive temperatures below 22 degrees F and will most likely die if the temperature falls below 32 degrees F for more than a few days. Papaya and guavas are two more tropical fruit trees that won't grow in snow country.
Dates and Avocados
Dates grow on date palms in warm winter areas. Avocado trees may grow from the seeds from avocados purchased at the grocery store. The tree from such a seed will probably not produce fruit. Most avocado trees sold commercially are grafted onto rootstock.