Question

refer to the graph of y = f(x) to the right to describe the behavior of lim f(x) as x→∞. use -∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x)=1 (x→∞) b. the limit does not exist and is neither -∞ nor ∞.

Explanation:

Step1: Observe the graph as x approaches infinity

As \(x\) moves towards the right - hand side (i.e., \(x
ightarrow\infty\)), we look at the long - term behavior of the function \(y = f(x)\).

Step2: Determine the limit value

From the graph, as \(x\) gets larger and larger, the function \(y=f(x)\) approaches a horizontal line \(y = 1\). So, \(\lim_{x
ightarrow\infty}f(x)=1\).

Answer:

A. \(\lim_{x
ightarrow\infty}f(x)=1\)