Question

So Sánh:

\(\frac{n+1}{n+2}\)     và     \(\frac{n}{n+3}\)    

 

Answer 1

Gỉai:

So sánh:

a+1/n+2>n/n+3

Answer 2

Ta có :

\(\frac{n+1}{n+2}>\frac{n+1}{n+3}\)

\(\frac{n+1}{n+3}>\frac{n}{n+3}\)

\(\Rightarrow\frac{n+1}{n+2}>\frac{n}{n+3}\)

Vậy \(\frac{n+1}{n+2}>\frac{n}{n+3}.\)

Answer 3

Có \(\frac{n}{n+3}=\frac{n+1}{n+3+1}=\frac{n+1}{n+4}\)

ta thấy n+2 < n+4

=> \(\frac{n+1}{n+2}>\frac{n+1}{n+4}=>\frac{n+1}{n+2}>\frac{n}{n+3}\)

Answer 4

Ta có:

\(\frac{n+1}{n+2}>\frac{n+1}{n+3}\)

\(\frac{n+1}{n+3}>\frac{n}{n+3}\)

\(\Rightarrow\frac{n+1}{n+2}>\frac{n}{n+3}\)

Vậy: \(\frac{n+1}{n+2}>\frac{n}{n+3}\)