Final answer:
Without explicit information on the function f(x), we cannot determine the limits as x approaches 1. However, for a function like 1/x, both limits approaching 1 would equal 1, and for a constant function like f(x) = 20, both limits would equal 20.
Step-by-step explanation:
To find the limits lim x → 1- f(x) and lim x → 1 f(x), one needs to understand how the function behaves as x approaches 1 from the left (1-) and from the right (1+, which is just written as 1 in the limit notation). When the function is not given explicitly, we rely on the properties of the function – such as its behavior near asymptotes, and whether the function is continuous or has any sort of discontinuities around the limit point.
For instance, if we look at the function f(x) = 1/x, as x approaches 1, f(x) approaches 1 since there are no asymptotes or discontinuities at x=1. In this specific case, both the left-hand limit (lim x → 1- f(x)) and the right-hand limit (lim x → 1 f(x)) would be equal to 1.
Without explicit information about the function f(x) near x=1, we cannot give a definitive answer to the limits in question. It would require either the function's definition near x=1 or a graph showing its behavior as x approaches 1. If we are given that f(x) is, say, a horizontal line like f(x) = 20 for the domain mentioned, then the limits as x approaches 1 would simply equal 20.