use the graph of the function f to find the following limits. lim f(x) and lim f(x) as x→∞ and x→ -∞. selec…

use the graph of the function f to find the following limits. lim f(x) and lim f(x) as x→∞ and x→ -∞. selec the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x)=□ as x→∞ b. the limit does not exist and is not ∞ or -∞. selec the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x)=□ as x→ -∞ b. the limit does not exist and is not ∞ or -∞.

use the graph of the function f to find the following limits. lim f(x) and lim f(x) as x→∞ and x→ -∞. selec the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x)=□ as x→∞ b. the limit does not exist and is not ∞ or -∞. selec the correct choice below and, if necessary, fill in the answer box to complete your choice. a. lim f(x)=□ as x→ -∞ b. the limit does not exist and is not ∞ or -∞.

Answer

Explanation:

Step1: Analyze limit as $x\to\infty$

As $x$ approaches positive - infinity, observe the end - behavior of the graph. The graph seems to approach a horizontal asymptote. Looking at the right - hand side of the graph as $x$ gets larger and larger, the $y$ - values approach a certain value. In this case, as $x\to\infty$, the function values $y = f(x)$ approach $0$. So, $\lim_{x\to\infty}f(x)=0$.

Step2: Analyze limit as $x\to-\infty$

As $x$ approaches negative infinity, observe the left - hand side of the graph. The graph also approaches a horizontal asymptote. As $x$ gets more and more negative, the $y$ - values approach $0$. So, $\lim_{x\to-\infty}f(x)=0$.

Answer:

For $\lim_{x\to\infty}f(x)$: A. $\lim_{x\to\infty}f(x)=0$ For $\lim_{x\to-\infty}f(x)$: A. $\lim_{x\to-\infty}f(x)=0$