Answered

Find detailed and accurate answers to your questions on IDNLearn.com. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.

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]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.