I just started out on limits and I started studying directly from a AP CALC AB review book (I never took Pre-calc), so the concept of limits hit me hard and was very confusing. Thats why I think I wanted clean-cut explanations.
But, I finally found what I wanted at sparknotes…they give good explanations on how to do each type of problem and they used the limit rules to manipulate complex problems.
For anyone who ever comes across this and is struggling with limits, check out sparknotes limit explanation:
http://www.sparknotes.com/math/calcab/functionslimitscontinuity/section2.rhtml