Originally Posted by

**transgalactic** i was tought this trick to make series converge to 0

for example

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?