Re: functions

Posted by Dr. Strange on Apr 17, 2016; 4:12am
URL: http://discussion-forum.276.s1.nabble.com/functions-tp7599851p7599897.html

acc to ques, f(1)=0,f(0.5)=0,f(0.33)=0 and so on

As n increases,1/n decreases and so for higher values of n ,1/n tends to zero and function becomes continuous near 0 and is equal to 0.
However we can't say anything for f(3/4) or f(3/5) as they may or may not be zero.(since 4/3 or 5/3 is not an integer).
So f(x) is not 0 for  x belongs to (0,1)