Q.Lime Tree Insect Nests
I live in north central Mexico where it’s mostly sunny but gets chilly from November-January. At the first cold, these nests with black egg-looking things started up on the outside leaves of my lime tree. They seem to be spreading. It’s a mature tree, which just in Sept. -Oct. produced a bunch. Should I prune off these branches? Should I spray with something?

Certified GKH Gardening Expert
Yes, you can prune out the affected portions of the tree. Also, I would treat it with neem oil. It is effective for ridding the plant of pests, but is still safe for people, animals, and even beneficial insects, like pollinators. This article will give you more information:
https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm