[tex]\displaystyle
n = numarul termenilor = 104 - 47 + 1 = 58\\
\text{Rezolvam prima inegalitate} \\ \\
\frac{1}{47} + \frac{1}{48} + \frac{1}{49}+ .. + \frac{1}{104} \ \textgreater \ \frac{1}{104}+\frac{1}{104}+...+\frac{1}{104} = \frac{58}{104} = \frac{29}{52} \\ \\
Rezolvam a 2-a inegalitate: \\ \\
\frac{1}{47} + \frac{1}{48} + \frac{1}{49}+ .. + \frac{1}{104} \ \textless \ \frac{1}{47}+\frac{1}{47}+...+\frac{1}{47} = \frac{58}{47} = 1\frac{11}{47} \\ \\
[/tex]
