Sn=1+1/2²+1/3²+1/4²+……+1/n²,求证Sn>3/2
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![Sn=1+1/2²+1/3²+1/4²+……+1/n²,求证Sn>3/2](/uploads/image/z/5300356-4-6.jpg?t=Sn%3D1%2B1%2F2%26%23178%3B%2B1%2F3%26%23178%3B%2B1%2F4%26%23178%3B%2B%E2%80%A6%E2%80%A6%2B1%2Fn%26%23178%3B%2C%E6%B1%82%E8%AF%81Sn%3E3%2F2)
Sn=1+1/2²+1/3²+1/4²+……+1/n²,求证Sn>3/2
Sn=1+1/2²+1/3²+1/4²+……+1/n²,求证Sn>3/2
Sn=1+1/2²+1/3²+1/4²+……+1/n²,求证Sn>3/2
Sn=1+1/2²+1/3²+1/4²+……+1/n²
>1+1/2×3+1/3×4+.+1/n(n+1)
=1+1/2-1/3+1/3-1/4+.+1/n-1/(n+1)
=3/2-1/(n+1)
>3/2