求极值x→∞ lim(3+x)/(x+2)^ 2x
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求极值x→∞ lim(3+x)/(x+2)^ 2x
求极值x→∞ lim(3+x)/(x+2)^ 2x
求极值x→∞ lim(3+x)/(x+2)^ 2x
lim(x→∞) [(3+x)/(x+2)]^ 2x
= lim(x→∞) [1 + 1/(x+2)]^ 2x
= lim(x→∞) {[1 + 1/(x+2)]^ (x+2)}^ [2x/(x+2)]
= lim(x→∞) e^ [2x/(x+2)]
= lim(x→∞) e^ [2 - 4/(x+2)]
= lim(x→∞) e^2
= e^2
lim(3+x)/(x+2)^ 2x
求极值x→∞ lim(3+x)/(x+2)^ 2x
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