limx→∞(1-x/3-x)∧2x

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limx→∞(1-x/3-x)∧2xlimx→∞(1-x/3-x)∧2xlimx→∞(1-x/3-x)∧2xlimx→∞[(1-x)/(3-x)]^2x=limx→∞[1+2/(x-3)]^{4[(x

limx→∞(1-x/3-x)∧2x
limx→∞(1-x/3-x)∧2x

limx→∞(1-x/3-x)∧2x
limx→∞[(1-x)/(3-x)]^2x
=limx→∞[1+2/(x-3)]^{4[(x-3)/2]+6}
=limx→∞[1+2/(x-3)]^4[(x-3)/2]*=limx→∞[1+2/(x-3)]^6
=e^4*1^6=e^4