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Question

limx0 ax+a-x-2x2

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Solution

limx0 ax+a-x-2x2=limx0 ax22+a-x22-2ax2·a-x2x2=limx0 ax2-a-x22x2=limx0 ax2-1ax22x2=limx0 ax-12x2×1ax22=limx0 ax-1x2×1ax=log a2a0=log a2

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