Final answer:
To estimate the limit of the function f(x) = 1 - 3/x as x approaches infinity, graph the function and observe the horizontal asymptote at y = 1. The estimated limit is 1.00, as the term -3/x becomes insignificant for large x values.
Step-by-step explanation:
The question involves finding the limit of the function f(x) = 1 - 3/x as x approaches infinity. To estimate this limit using a graph, one would draw the graph of the function and observe the behavior as x increases. The function f(x) approaches a horizontal asymptote, since the term -3/x becomes negligible as x gets very large. Therefore, the graph shows that the limit of f(x) as x approaches infinity is 1.
For this particular function, as x gets very large, the -3/x term approaches zero, and the value of f(x) gets closer and closer to 1. The horizontal line on the graph at y = 1 represents the limit of the function. Therefore, the estimated value of the limit, correct to two decimal places, is 1.00.