x→1-0は、xが1より小さい値から1に近づく。だから、分子は絶対値を外し、x-1＜0より-(x-1)。
したがって、
lim[x→1-0](│x-1│/x-1)
＝lim[x→1-0]-(x-1)/(x-1)
＝lim[x→1-0](-1)
＝-1
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