Let f be the function such that f(x)=1+^2 if x is irrational and f(x)=1+4x^4 if x is rational.
Use the Squeeze Theorem to find (lim x->0)f(x).
Clearly, for all real numbers x, f(x)>=1. Next, we note that for a real number x,
if and only if ? >=0. This means that x^2>=4x^4 if and only if x [?,?]
The Attempt at a Solution
I've been stuck on this question for a while.any hints to start me off?