已知函数f(x)=1/2lnx+1/x.(1)求函数的单调区间和极值;(2)求证对于任何正整数n>2已知函数f(x)=1/2lnx+1/x.(1)求函数的单调区间和极值;(2)求证对于任何正整数n>2有2(1+1/2+1/3+……+1/n)+ln(1×2×3×
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![已知函数f(x)=1/2lnx+1/x.(1)求函数的单调区间和极值;(2)求证对于任何正整数n>2已知函数f(x)=1/2lnx+1/x.(1)求函数的单调区间和极值;(2)求证对于任何正整数n>2有2(1+1/2+1/3+……+1/n)+ln(1×2×3×](/uploads/image/z/1858727-47-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D1%2F2lnx%2B1%2Fx.%281%29%E6%B1%82%E5%87%BD%E6%95%B0%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%E5%92%8C%E6%9E%81%E5%80%BC%3B%282%29%E6%B1%82%E8%AF%81%E5%AF%B9%E4%BA%8E%E4%BB%BB%E4%BD%95%E6%AD%A3%E6%95%B4%E6%95%B0n%3E2%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D1%2F2lnx%2B1%2Fx.%EF%BC%881%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%E5%92%8C%E6%9E%81%E5%80%BC%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%E5%AF%B9%E4%BA%8E%E4%BB%BB%E4%BD%95%E6%AD%A3%E6%95%B4%E6%95%B0n%3E2%E6%9C%892%EF%BC%881%2B1%2F2%2B1%2F3%2B%E2%80%A6%E2%80%A6%2B1%2Fn%EF%BC%89%2Bln%281%C3%972%C3%973%C3%97)
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