Given the function $$g$$ and asked to estimate $$\lim _{x \to  4} g({x})$$, three students created tables. Each table is accurate, but which one is the best for approximating the limit?

![](http://admin.getprephub.com/media/editor/l20_20220921230030790964.png)


<div id="displayOption0" class="markdown-body editormd-html-preview"><textarea>![](http://admin.getprephub.com/media/editor/ls20_20220921230209650254.png)</textarea><img src="http://admin.getprephub.com/media/editor/ls20_20220921230209650254.png" alt="">
</div>

<div id="displayOption1" class="markdown-body editormd-html-preview"><textarea>![](http://admin.getprephub.com/media/editor/ls201_20220921230219740909.png)</textarea><img src="http://admin.getprephub.com/media/editor/ls201_20220921230219740909.png" alt="">
</div>

<div id="displayOption2" class="markdown-body editormd-html-preview"><textarea>![](http://admin.getprephub.com/media/editor/ls202_20220921230230099500.png)</textarea><img src="http://admin.getprephub.com/media/editor/ls202_20220921230230099500.png" alt="">
</div>

<div id="displayOption3" class="markdown-body editormd-html-preview"><textarea>none of the above</textarea>none of the above
</div>

<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">Given the function $$g$$ and asked to estimate $$\lim _{x \to 4} g({x})$$, three students created tables. Each table is accurate, but which one is the best for approximating the limit?

![](http://admin.getprephub.com/media/editor/l20_20220921230030790964.png)
</textarea>Given the function <math><semantics><mrow wfd-invisible="true"><mi>g</mi></mrow><annotation encoding="application/x-tex">g</annotation></semantics></math>g and asked to estimate <math><semantics><mrow wfd-invisible="true"><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>4</mn></mrow></msub><mi>g</mi><mo>(</mo><mrow><mi>x</mi></mrow><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x \to 4} g({x})</annotation></semantics></math>lim​x→4​​g(x), three students created tables. Each table is accurate, but which one is the best for approximating the limit?
<img src="http://admin.getprephub.com/media/editor/l20_20220921230030790964.png" alt="">
</div>

<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">Here, the table

![](http://admin.getprephub.com/media/editor/ls20_20220921230157315048.png)
Contain $$g(x)$$ when $$x \to 4^{+}$$ and $$x \to 4^{-}$$ 
So, this table is Correct.</textarea>Here, the table
<img src="http://admin.getprephub.com/media/editor/ls20_20220921230157315048.png" alt=""> Contain <math><semantics><mrow wfd-invisible="true"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">g(x)</annotation></semantics></math>g(x) when <math><semantics><mrow wfd-invisible="true"><mi>x</mi><mo>→</mo><msup><mn>4</mn><mrow><mo>+</mo></mrow></msup></mrow><annotation encoding="application/x-tex">x \to 4^{+}</annotation></semantics></math>x→4​+​​ and <math><semantics><mrow wfd-invisible="true"><mi>x</mi><mo>→</mo><msup><mn>4</mn><mrow><mo>−</mo></mrow></msup></mrow><annotation encoding="application/x-tex">x \to 4^{-}</annotation></semantics></math>x→4​−​​ So, this table is Correct.
</div>