Enter xx-values into the table below to determine function values for a function f, of, xf(x) for various inputs. Use the function values in order to determine limit, start subscript, x, right arrow, infinity, end subscript, f, of, x 
x→∞
lim
​
 f(x).

To determine the limit of \( \lim_{{x \to \infty}} f(x) \), you need to analyze the behavior of the function \( f(x) \) as \( x \) approaches infinity. However, I don't have the specific function \( f(x) \) or the table with \( x \)-values you mentioned. Here's how you can approach this:

1. **Enter \( x \)-values**: Choose a set of large \( x \)-values, like \( x = 10, 100, 1000 \), and evaluate \( f(x) \) for each.
   
2. **Analyze the function**: By observing how \( f(x) \) behaves as \( x \) increases, you can infer the behavior as \( x \to \infty \).

If you provide the function \( f(x) \) or the table of values, I can help calculate the limit.

Would you like to share more information? 

Here are some related questions to explore:

1. What is the definition of a limit at infinity?
2. How do polynomial functions behave as \( x \to \infty \)?
3. How do exponential functions behave at large \( x \)?
4. How does the horizontal asymptote relate to limits?
5. Can a limit approach infinity without reaching a specific value?

**Tip**: When computing limits, observe if the function stabilizes (i.e., reaches a constant value) or keeps increasing/decreasing.

Enter xx-values into the table below to determine function values for a function f, of, xf(x) for various inputs. Use the function values in order to determine limit, start subscript, x, right arrow, infinity, end subscript, f, of, x x→∞ lim f(x).

Understand how to determine the limit of a function f(x) as x approaches infinity by evaluating function values for various large x-values. This guide covers key concepts related to limits and function behavior at infinity, suitable for Grades 11-12.

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