Chứng minh rằng: 1/10 + 1/11 + 1/12 + + 1/99 + 1/100 > 0
Chứng minh rằng: \(\frac{1}{{10}} + \frac{1}{{11}} + \frac{1}{{12}} + ... + \frac{1}{{99}} + \frac{1}{{100}} > 0\)
Ta có:
\(\frac{1}{{10}} > 0\), \(\frac{1}{{11}} > 0\),…, \(\frac{1}{{100}} > 0\)
Suy ra \(\frac{1}{{10}} + \frac{1}{{11}} + \frac{1}{{12}} + ... + \frac{1}{{99}} + \frac{1}{{100}} > 0\)