
1/2!+2/3!+3/4!......+(n-1)/n!=?
1个回答
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1/1! + 1/2! + ... + 1/n!
<1+1/2+1/2^2+1/2^3+...1/2^(n-1)
=1+(1/2^n-1/2)/(1/2-1)
=1+1-1/2^(n+1)
=2-1/2^(n+1)
<2
<3
<1+1/2+1/2^2+1/2^3+...1/2^(n-1)
=1+(1/2^n-1/2)/(1/2-1)
=1+1-1/2^(n+1)
=2-1/2^(n+1)
<2
<3
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