Question

it is a fact that the function f(x) = (9x - 2)/(x + 2) has a limiting value. use a table of values to estimate the limiting value. (suggestion: we suggest starting the table at 0 and using a table increment of 100. round your answer to two decimal places.)

Explanation:

Step1: Analyze the function

The function is $f(x)=\frac{9x - 2}{x + 2}$.

Step2: Find the limit as x approaches infinity

We divide both the numerator and denominator by x: $\lim_{x
ightarrow\infty}\frac{9x - 2}{x + 2}=\lim_{x
ightarrow\infty}\frac{9-\frac{2}{x}}{1+\frac{2}{x}}$.
As $x
ightarrow\infty$, $\frac{2}{x}
ightarrow0$. So the limit is $\frac{9 - 0}{1+0}=9$.

Answer:

9.00