Question

[Võ Thị Gia Hân]

so sanh

n phan n+2 va n+3 phan n+5

Answer 1

[‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍...]

\(\frac{n}{n+2}và\frac{n+3}{n+5}\)

Có\(\frac{n}{n+2}=\frac{\left(n+2\right)-2}{n+2}=1-\frac{2}{n+2}\)

   \(\frac{n+3}{n+5}=\frac{\left(n+5\right)-2}{n+5}=1-\frac{2}{n+5}\)

Vì\(\frac{2}{n+2}>\frac{2}{n+5}\)

\(=>1-\frac{2}{n+2}< 1-\frac{2}{n+5}\)

\(=>\frac{n}{n+2}< \frac{n+3}{n+5}\)