(x²-2x+2)/(2x-2)=[(x-1)²+1]/[2(x-1)]=(x-1)/2+1/[2(x-1)]∵-4<x<1∴-5∴上式<=-2×1/2=-1当尺李(衡祥x-1)/2=1/[2(x-1)],即x=-1时,“=”成立∴当陵拦迟x=-1时原式有最大值,最大值是-1
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