Originally Posted by

**mathmonster** i'm trying to study for an Analysis exam, but im gettin stuck on something which i imagine is quite trivial!!

here is an example from something we were taught in lectures. (E meaning epsilon, and [function] means absolute value of said function, because i dont know how to do absolute value signs)

lim 1/n = 0 (as n goes to infinity)

and the proof is

E>0 given

take N(E) s.t. N(E) > 1/E

for n >= N(E) , we have

[1/n - 0] = 1/n < E

what i'm having trouble with is what E actually is used for, and consequentially what N(E) means.

any help (in the simplest form) would be very much appreciated.