丨ab-2丨与丨a-1丨互为相反数,求下列式子的值 1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
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![丨ab-2丨与丨a-1丨互为相反数,求下列式子的值 1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)](/uploads/image/z/14336434-10-4.jpg?t=%E4%B8%A8ab-2%E4%B8%A8%E4%B8%8E%E4%B8%A8a-1%E4%B8%A8%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82%E4%B8%8B%E5%88%97%E5%BC%8F%E5%AD%90%E7%9A%84%E5%80%BC+1%2Fab%2B1%2F%28a%2B1%29%28b%2B2%29%2B1%2F%28a%2B2%29%28b%2B2%29%2B..%2B1%2F%28a%2B2006%29%28b%2B2006%29)
丨ab-2丨与丨a-1丨互为相反数,求下列式子的值 1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
丨ab-2丨与丨a-1丨互为相反数,求下列式子的值 1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
丨ab-2丨与丨a-1丨互为相反数,求下列式子的值 1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
ab-2=0
a-1=0
∴a=1
b=2
1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
=1/1*2+1/2*3+1/3*4+……+1/2007*2008
=1-1/2+1/2-1/3+1/3-……-1/2007+1/2007-1/2008
=1-1/2008
=2007/2008
a=1
b=2
1/ab+1/(a+1)(b+2)+1/(a+2)(b+2)+..+1/(a+2006)(b+2006)
=1/1*2+1/2*3+1/3*4+……+1/2007*2008
=2007/2008
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