Question

So sánh 2000/2001+ 2001/2002+...+2015/2016 và 15

 

Answer 1

2000/2001<1

2001/2002<1

2002/2003<1

...

2015/2016<1

=>2000/2001+2001/2002+2002/2003+2003/2004+...+2015/2016<1+1+1+1+1+...+1=15

Vậy...   

Answer 2

Ta có:

2000/ 2001 < 1

2001/2002 < 1

..................

2015/ 2016<1

=> 200/2001 + 2001/202+...+ 2015/2016 < 1 + 1+1 +1+...+1( 15 số hạng)

=> 200/2001 + 2001/202+...+ 2015/2016< 1 x 15 = 15