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CalculusEasyLimits and Continuity

Limits and Continuity · Easy problem

Suppose lim⁡x→af(x)=3\displaystyle\lim_{x\to a}f(x)=3 and lim⁡x→ag(x)=−2\displaystyle\lim_{x\to a}g(x)=-2. Use the limit laws to find lim⁡x→a(2f(x)−[g(x)]2)\displaystyle\lim_{x\to a}\Bigl(2f(x)-\bigl[g(x)\bigr]^2\Bigr).