+0  
 
0
122
1
avatar

How many different values can $\lfloor x \rfloor + \lfloor 2x \rfloor + \lfloor 3x \rfloor +\lfloor 4x \rfloor$ take for $0 \leq x \leq 1$?

 

smiley

 Dec 18, 2020
 #1
avatar+112865 
+1

If x=0 what is the answer?

 

If x=1 what is the answer?

 

If x=  just a tiny bit less than 1,  what is the answer?

 

Try  x=1/4, x=1/3, x=1/2, x=2/3,  

 

What do you have so far?  

 



Please let guest asker answer this.

 Dec 18, 2020

9 Online Users

avatar
avatar