Final answer:
The one-sided limit of the function y(x) at x=1 does not exist.
Step-by-step explanation:
The one-sided limit of a function at a given point represents the value the function approaches as the input approaches the given point from one direction. In this case, we are determining the one-sided limit of the function y(x) at the point x = 1. The function given is y = 1/x. To find the one-sided limit from the left side of 1, we can substitute values less than 1 into the function, such as 0.9, 0.8, and so on, and observe the values the function approaches. Similarly, to find the one-sided limit from the right side of 1, we can substitute values greater than 1 into the function, such as 1.1, 1.2, and so on, and observe the values the function approaches. In this case, as x approaches 1 from the left side, y(x) approaches -infinity, and as x approaches 1 from the right side, y(x) approaches infinity. Therefore, the one-sided limit of the function y(x) at x=1 does not exist.