I am not quite understanding the definition of a limit L as x approaches infinity. The definition states the following:
" We say that f(x) has the limit L as x approaches infinity and write
lim x->∞ f(x) = L
if for every number Є > 0 there exists a corresponding number M such that for all x
x > M -> |f(x) - L| < Є "
That is the definition from the book, and I don't understand what they mean by the number M. Can anyone explain what the number M is?