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Limits of piecewise functions

AP.CALC: LIM‑1 (EU), LIM‑1.D (LO), LIM‑1.D.1 (EK)


g(x)={ln(x)for 0<x2x2ln(2)for x>2g(x)=\begin{cases} \text{ln}(x)&\text{for }0<x\leq2 \\\\ x^2\text{ln}(2)&\text{for }x>2 \end{cases}
Find limit, start subscript, x, \to, 2, end subscript, g, left parenthesis, x, right parenthesis.
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