Top. A horizontal asymptote is a y-value which a function approaches. The asymptote is parallel to x axis, so is of the form y = a, for all real values of a. Thus if f(x) = y is a function, then y = a, becomes undefined for the function, then the line y = a, is called the asymptote for the function y = f(x).
The African armyworm (Spodoptera exempta) also called okalombo, kommandowurm, or nutgrass armyworm, is an African moth. It is a very deleterious pest, capable of destroying entire crops in a matter of weeks.
No, the (earth) worm is not considered to be an insect. It is rather an annelid: a group of animals consisting of some types of worms, leeches, and a few other (but not all) bilaterally symmetrical organisms. In terms of diet, (earth) worms are detritivores, in which they eat decaying or dead organic matter such as dead leaves or decomposing fruit.