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证明n趋于无穷lim(3n05-5)/(4n05+1)=3/4

考虑: |(3n+1)/(4n-1) - 3/4| =|4(3n+1)-3(4n-1) / 4(4n-1) | =|(12n+4-12n+3) / 4(4n-1) | =|7 / 4(4n-1) | =(7/4) * |1/(4n-1)| 1,即:3n1/(4n-1) : |(3n+1)/(4n-1) - 3/4| 0,存N=max{1,1/ε} n>N,都|(3n+1)/(4n-1) - 3/4|

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