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## Homework Statement

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,

x^2−4x^4=(x^2)(1−4x^2)>=0

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?