The function $$h$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x \to 5} {h}({x})$$ ?

![](http://admin.getprephub.com/media/editor/l2_20220921223329843666.png)

<div id="displayOption0" class="markdown-body editormd-html-preview"><textarea>Limit does not exist</textarea>Limit does not exist
</div>

<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>The function $$h$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x \to 5} {h}({x})$$ ?

![](http://admin.getprephub.com/media/editor/l2_20220921223329843666.png)</textarea>The function <math><semantics><mrow><mi>h</mi></mrow><annotation encoding="application/x-tex">h</annotation></semantics></math>h is defined for all real numbers. What is a reasonable estimate for <math><semantics><mrow><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>5</mn></mrow></msub><mrow><mi>h</mi></mrow><mo>(</mo><mrow><mi>x</mi></mrow><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x \to 5} {h}({x})</annotation></semantics></math>lim​x→5​​h(x) ?
<img src="http://admin.getprephub.com/media/editor/l2_20220921223329843666.png" alt="">
</div>

<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>From the diagram

$$\lim_{x \to 5} f(x)=$$ limit does not exist

Because at $$x=-5, h(x)$$ does not exist

</textarea>From the diagram
<math><semantics><mrow><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>5</mn></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo></mrow><annotation encoding="application/x-tex">\lim_{x \to 5} f(x)=</annotation></semantics></math>lim​x→5​​f(x)= limit does not exist
Because at <math><semantics><mrow><mi>x</mi><mo>=</mo><mo>−</mo><mn>5</mn><mo separator="true">,</mo><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">x=-5, h(x)</annotation></semantics></math>x=−5,h(x) does not exist
</div>