Explanation of Limits and Function Analysis | Basic Mathematics 2081

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Explanation of Limits and Function Analysis

The statement $\lim{x \to 2} f(x) = 5$ means that as $x$ gets arbitrarily close to $2$ (approaching from both the left and the right), the function values $f(x)$ get arbitrarily close to $5$ , irrespective of the value of $f$ at $x = 2$ . Formal ( $\epsilon$ - $\delta$ ) definition: For every

The statement $\lim{x \to 2} f(x) = 5$ means that as $x$ gets arbitrarily close to $2$ (approaching from both the left and the right), the function values $f(x)$ get arbitrarily close to $5$, irrespective of the value of $f$ at $x = 2$. Formal ($\epsilon$-$\delta$) definition: For every

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