Limits are the machinery that make all of calculus work, so we need a good understanding of how they work in order to really understand how calculus is applied.

The limits are defined as the value that the function approaches as it goes to an x value. Using this definition, it is possible to find the value of the limits given a graph.

The dynamic view of limits, which involves ideas of motion and “approaching” (for example, our lovers), may be more accessible to students than the static view preferred by many textbook authors.

One-sided limits will always exist. An “overall” limit will only exist when the one-sided limits are equal.

Actually, most functions are nice in the sense that we do not have have to worry about limits at most points. In the overwhelming cases of real applications we only have to worry about limits when the …

Now we want to talk about limits more carefully; this will include some of our first steps towards our goal of being able to differentiate every function you know.

Section 415 of the Internal Revenue Code (“Code”) provides for limitations on benefits and contributions under qualified retirement plans. Section 415(d) requires that the Secretary of the Treasury annually …