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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Match the resulting values to the corresponding limits.

[tex]\[
\lim _{x \rightarrow 8}\left(\frac{8-x}{|-x^2-63x+568|}\right)
\][/tex]
[tex]$\square$[/tex]

[tex]\[
\lim _{x \rightarrow 6^{-}}\left(\frac{|x-6|}{-x^2-86x+852}\right)
\][/tex]
[tex]$\square$[/tex]

[tex]\[
\lim _{x \rightarrow 7^{+}}\left(\frac{-x^2-178+168}{|x-5|}\right)
\][/tex]
[tex]$\square$[/tex]

-31 [tex]$\square$[/tex]

[tex]$-\frac{1}{71}$[/tex] [tex]$\square$[/tex]

[tex]$\square$[/tex]

Sagot :

GinnyAnsweridn
To match the resulting values to the corresponding limits, we need to pair the given limits with the correct calculated values. Here are the matches based on the provided results:

1. [tex]$ \lim _{x \rightarrow 8}\left(\frac{8-x}{\left|-x^2-63 x+568\right|}\right) $[/tex] matches with [tex]$-\frac{1}{79}$[/tex].

2. [tex]$ \lim _{x \rightarrow 6^{-}}\left(\frac{|x-6|}{-x^2-86 x+852}\right) $[/tex] matches with [tex]$0$[/tex].

3. [tex]$ \lim _{x \rightarrow 7^{+}}\left(\frac{-x^2-178+168}{|x-5|}\right) $[/tex] matches with [tex]$-29.5$[/tex].

So, the correct pairs are:

- [tex]$\lim _{x \rightarrow 8}\left(\frac{8-x}{\left|-x^2-63 x+568\right|}\right)$[/tex]: [tex]$-\frac{1}{79}$[/tex]
- [tex]$\lim _{x \rightarrow 6^{-}}\left(\frac{|x-6|}{-x^2-86 x+852}\right)$[/tex]: [tex]$0$[/tex]
- [tex]$\lim _{x \rightarrow 7^{+}}\left(\frac{-x^2-178+168}{\left|x-5 \right|}\right)$[/tex]: [tex]$-29.5$[/tex]
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