Use the definition of limits, find the delta which corresponds to the epsilon givn the limit:

lim ( 1+x ) ^ 1/x = e ; given the epsilon = .001

x--->0

my solns:

|(1+x)^1/x - e| < .001

so,

-.001 < (1+x)^1/x - e < .001

and,

e - .001 < (1+x)^(1/x) < e + .001

.999 < (1+x)^(1/x) < 1.0010005 <=== This is wer i got stuck on how to.. ??

$\displaystyle /epsilon$