Given that and

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Given that lim⁡x→2f(x)=3\displaystyle \lim_{x\to 2}f(x)=3 and lim⁡x→2g(x)=−5\displaystyle \lim_{x\to 2}g(x)=-5, find lim⁡x→2[2f(x)−3g(x)]\displaystyle \lim_{x\to 2}[2f(x)-3g(x)].

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