(Ⅰ)当a=0时,若g(x)≤|x﹣2|+b对任意x∈(0,+∞)恒成立,求实数b的取值范围;
(Ⅱ)当a=1时,求g(x)的最大值.
∴﹣b≤|x﹣1|+|x﹣2|,
∵|x﹣1|+|x﹣2|≥|x﹣1+2﹣x|=1,∴﹣b≤1,∴b≥﹣1(Ⅱ)当a=1时, g(x)={
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