i was tought this trick to make series converge to 0
f_n (x) =1 ,when x belongs to [n,(n+1)]
f_n (x) =0 when it doesnt
so no matter what x value we have
when n goes to infinity the value 1 section will "run away
and it always converge to 0
now i cant undestand if the following function is a such a function.
f_n(x)=(n)^0.5 ,when x belongs to [0,1/n]
f_n(x)=0 ,when it doesnt
herewhen n goes to infinty
i dont have a moving section like before
here the section shrinks
and static am i correct?