fill in the following table. round to three decimal places. x | y 1.9 | 5.263 1.98 | 5.051 2.02 | 4.950 2.1…

fill in the following table. round to three decimal places. x | y 1.9 | 5.263 1.98 | 5.051 2.02 | 4.950 2.1 | 4.762 based on the above table, lim(x→2) (10x - 20)/(x² - 2x) = question help: post to forum submit question

fill in the following table. round to three decimal places. x | y 1.9 | 5.263 1.98 | 5.051 2.02 | 4.950 2.1 | 4.762 based on the above table, lim(x→2) (10x - 20)/(x² - 2x) = question help: post to forum submit question

Answer

Answer:

5.000

Explanation:

Step1: Analyze the table values

As $x$ approaches 2 from the left - hand side (values like 1.9, 1.98) the $y$ - values are approaching 5. As $x$ approaches 2 from the right - hand side (values like 2.02, 2.1) the $y$ - values are also approaching 5.

Step2: Determine the limit

Since the left - hand limit and the right - hand limit as $x$ approaches 2 of the function $\frac{10x - 20}{x^{2}-2x}$ are both 5, $\lim_{x\rightarrow2}\frac{10x - 20}{x^{2}-2x}=5.000$ (rounded to three decimal places).