Ononot — Suppose a function g(x) satisfies \frac{x^2}{3} \leq g(x) \l

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Limits & Continuitymedium

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Suppose a function $g(x)$ satisfies $\frac{x^2}{3} \leq g(x) \leq \frac{x^2 + 2x}{3}$ for all $x$ in an interval containing $x=0$ . What can be concluded about $\lim_{x \to 0} g(x)$ by the Squeeze Theorem?