设函数f（x）=（1﹣ax）ln（x+1）﹣bx，其中a和b是实数，曲线y=f（x）恒与x轴相切于坐标原点．

（1）求常数b的值；

（2）当0≤x≤1时，关于x的不等式f（x）≥0恒成立，求实数a的取值范围；

（3）求证：（$\frac{10001}{10000}$）^10000.4＜e＜（$\frac{1001}{1000}$）^1000.5．

    ”Sorry” is a word that people in Britain often say in their daily life.

    One day while I was w____ on the street, a young man ran by hurriedly, brushing（轻擦）against my handbag. He continued his way, but turned b____ and said “sorry” to me. Even in a rush, he didn't f____ to say “sorry”. One day, after I bought some bananas, the shopkeeper was passing me the change, but I wasn't ready for it and a coin dropped onto the ground. “Sorry, Madam,” he said w____ bending to pick it up. I was s____why he said “sorry” to me. Another time, I stepped on a man's f____ at the entrance to a cinema. At the same time, we b____ said “sorry”.

    Slowly, I got to know that when something unpleasant happens in daily life, the British don't c____ much about who is wrong. If someone is in trouble, a “sorry” is always n____ . Perhaps that is w____I seldom see people quarrel on the buses or streets in Britain.

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