一道极限题··急求.在数列{an}中,a2=2,a6=10,且数列{√an-1}为等差数列(那1不是an的下标,但都在根号内.),bn=1/(an+2-an+1)(an+1-an) (这里1,2都是下标..),求当n趋向于无穷大时,b1+b2+b3+……+bn的极
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![一道极限题··急求.在数列{an}中,a2=2,a6=10,且数列{√an-1}为等差数列(那1不是an的下标,但都在根号内.),bn=1/(an+2-an+1)(an+1-an) (这里1,2都是下标..),求当n趋向于无穷大时,b1+b2+b3+……+bn的极](/uploads/image/z/14190723-27-3.jpg?t=%E4%B8%80%E9%81%93%E6%9E%81%E9%99%90%E9%A2%98%C2%B7%C2%B7%E6%80%A5%E6%B1%82.%E5%9C%A8%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%AD%2Ca2%3D2%2Ca6%3D10%2C%E4%B8%94%E6%95%B0%E5%88%97%7B%E2%88%9Aan-1%7D%E4%B8%BA%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%EF%BC%88%E9%82%A31%E4%B8%8D%E6%98%AFan%E7%9A%84%E4%B8%8B%E6%A0%87%2C%E4%BD%86%E9%83%BD%E5%9C%A8%E6%A0%B9%E5%8F%B7%E5%86%85.%EF%BC%89%2Cbn%3D1%2F%EF%BC%88an%2B2-an%2B1%EF%BC%89%EF%BC%88an%2B1-an%EF%BC%89+%28%E8%BF%99%E9%87%8C1%2C2%E9%83%BD%E6%98%AF%E4%B8%8B%E6%A0%87..%29%2C%E6%B1%82%E5%BD%93n%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7%E5%A4%A7%E6%97%B6%2Cb1%2Bb2%2Bb3%2B%E2%80%A6%E2%80%A6%2Bbn%E7%9A%84%E6%9E%81)
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