He multiplication rule for limits says that the product of the limits is the same as the limit of the product of two functions. That is, if the limit EXISTS and is finite (not infinite) as x approaches afor f(x) and for G(x), then the limit as xapproaches a for fg(x) is the product of the limits for f and g.

In case you need some background on limits, consider the following:

Most of the time, a function f(x) has a value for every possible value of x, but not always. For example, f(x) = (x - 4)(x - 6)/2(x - 6) is UNDEFINED at the value x = 6 because DIVIDING by 2(6 - 6) = 0 is just not feasible. Even then, however, we can look at what the function is like when we get closer and closer to the limit: in this case, the value x = 6. As we can see below, the closer x gets to 6, the closer ygets to 1, so we say that the limit of f(x) as x approaches 6 is 1. We can define a limit if we can get as close as we want to a particular value of x (call it x sub 0) and if it consistently gets closer and closer to one particular value of y when we do. If we can't get close to the xvalue with a definition of a function, or if the values of y JUMP around when we get closer and closer to x sub 0, or if the values of y go up or down without ever settling near a number, we cannot define a limit.