got to where 0 < a|f(x0/a) -f(x/a)|< epsilon and 0<|x0-x|<delta
so is a|f(x0/a)-f(x/a)| <= a|x0-x|
and |f(x0/a)| - |f(x/a)| <= |x0| - |x|
now what?
For a function f:R-->R and a>0 set fa(x) = af(x/a). Prove that if the family (fa) a element in (0,infinity) is equicontinuous then f is lipschitz continuous.
Okay so i started the proof with a def of equicontinuity and am trying to move towards lipschitz but having trouble