Well I've never heard them called "sex linked" reciprocal crosses, but the purpose of this cross is to determine the mode of inheritance (or as wikipedia puts it "to test the role of parental sex on a given inheritance pattern"). Assuming you know the mechanics of the cross, the purpose is to determine whether or not the gene under investigation is sex linked. If you see different phenotype ratios between the offspring of the crosses, you can conclude that the gene is sex-linked. If the ratios are the same, the gene is autosomal.
Y-linked inheritance is pretty simple - the gene is located on the Y chromosome and is thus always passed down, father to son. The only way for a woman to be affected is for her to have a chromosomal imbalance or mutation. Sex-limited inheritance just means that the expression of the gene is affected by the sex of the offspring - for example, a woman could not be affected by a disease that caused testicular cancer (broadly speaking).
Don't confuse sex limited with sex linked!