The function $${f}$$ is defined for all real numbers except for $${x}=3$$. What is a reasonable estimate for $$\lim _{x \to  3} f(x)$$ ?

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<div id="displayOption3" class="markdown-body editormd-html-preview"><textarea>limit does not exist</textarea>limit does not exist
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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>The function $${f}$$ is defined for all real numbers except for $${x}=3$$. What is a reasonable estimate for $$\lim _{x \to 3} f(x)$$ ?

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</textarea>The function <math><semantics><mrow><mrow><mi>f</mi></mrow></mrow><annotation encoding="application/x-tex">{f}</annotation></semantics></math>f is defined for all real numbers except for <math><semantics><mrow><mrow><mi>x</mi></mrow><mo>=</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">{x}=3</annotation></semantics></math>x=3. What is a reasonable estimate for <math><semantics><mrow><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">\lim _{x \to 3} f(x)</annotation></semantics></math>lim​x→3​​f(x) ?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>$$\lim _{x\to 3} f(x)=-4$$ (as it approaches from the diagram)

</textarea><math><semantics><mrow><msub><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mn>3</mn></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">\lim _{x\to 3} f(x)=-4</annotation></semantics></math>lim​x→3​​f(x)=−4 (as it approaches from the diagram)
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