Three students were given a function $${f}$$ and asked to estimate $$\lim _{x \to 2} f(x)=-2$$. Each student created a table (shown below). Each table is accurate, but which one is the best for approximating the limit?




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<div id="displayOption3" class="markdown-body editormd-html-preview"><textarea>None if the above.

</textarea><p>None if the above.</p>
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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Three students were given a function $${f}$$ and asked to estimate $$\lim _{x \to 2} f(x)=-2$$. Each student created a table (shown below). Each table is accurate, but which one is the best for approximating the limit?


</textarea><p>Three students were given a function <span class="editormd-tex"><span class="katex" style="font-size: 1.6em;"><span class="katex-mathml"><math><semantics><mrow><mrow><mi>f</mi></mrow></mrow><annotation encoding="application/x-tex">{f}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height: 0.69444em;"></span><span class="strut bottom" style="height: 0.88888em; vertical-align: -0.19444em;"></span><span class="base textstyle uncramped"><span class="mord textstyle uncramped"><span class="mord mathit" style="margin-right: 0.10764em;">f</span></span></span></span></span></span> and asked to estimate <span class="editormd-tex"><span class="katex" style="font-size: 1.6em;"><span class="katex-mathml"><math><semantics><mrow><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>2</mn></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>−</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">\lim _{x \to 2} f(x)=-2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height: 0.75em;"></span><span class="strut bottom" style="height: 1em; vertical-align: -0.25em;"></span><span class="base textstyle uncramped"><span class="mop"><span class="mop">lim</span><span class="vlist"><span class="" style="top: 0.15em; margin-right: 0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span class="" style="font-size: 0em;">​</span></span><span class="reset-textstyle scriptstyle cramped"><span class="mord scriptstyle cramped"><span class="mord mathit">x</span><span class="mrel">→</span><span class="mord">2</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span class="" style="font-size: 0em;">​</span></span>​</span></span></span><span class="mord mathit" style="margin-right: 0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">x</span><span class="mclose">)</span><span class="mrel">=</span><span class="mord">−</span><span class="mord">2</span></span></span></span></span>. Each student created a table (shown below). Each table is accurate, but which one is the best for approximating the limit?</p>
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