The function $$h(x)$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x\to -2} h({x})$$ ?

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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>The function $$h(x)$$ is defined for all real numbers. What is a reasonable estimate for $$\lim _{x\to -2} h({x})$$ ?

![](http://admin.getprephub.com/media/editor/l5_20220921223802216545.png)</textarea>The function <math><semantics><mrow><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">h(x)</annotation></semantics></math>h(x) 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><mo>−</mo><mn>2</mn></mrow></msub><mi>h</mi><mo>(</mo><mrow><mi>x</mi></mrow><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x\to -2} h({x})</annotation></semantics></math>lim​x→−2​​h(x) ?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Fron the graph,

When $$x \to -2 , h(x)$$ lies between $$-3$$ and $$-4$$.

From the option, $$-3.8$$ will be appropriate.

</textarea>Fron the graph,
When <math><semantics><mrow><mi>x</mi><mo>→</mo><mo>−</mo><mn>2</mn><mo separator="true">,</mo><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">x \to -2 , h(x)</annotation></semantics></math>x→−2,h(x) lies between <math><semantics><mrow><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">-3</annotation></semantics></math>−3 and <math><semantics><mrow><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">-4</annotation></semantics></math>−4.
From the option, <math><semantics><mrow><mo>−</mo><mn>3</mn><mi mathvariant="normal">.</mi><mn>8</mn></mrow><annotation encoding="application/x-tex">-3.8</annotation></semantics></math>−3.8 will be appropriate.
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