Figure 2: Graph of x sin x1
Here is a collection of basic rules for manipulating limits. We have already
used some of these in examples.
Assume lim f (x) and lim g(x) exist.
• Addition Rule.
lim f (x) + g(x) = lim f (x) + lim g(x)
• Constant Rule. For c a constant,
lim c f (x) = c lim f (x)