Mathematics

As $x$ grows larger and larger, the denominator $x^4$ becomes enormous, so the fraction itself shrinks toward zero. This is the core idea behind limits at infinity: when a polynomial or power of $x$ sits in the denominator and grows without bound, the whole expression gets crushed down to $0$. You don't need fancy algebra here—just think about what happens to $\frac{1}{\text{huge number}}$.

As $x$ grows larger and larger, the denominator $x^4$ becomes enormous, so the fraction itself shrinks toward zero. This is the core idea behind limits at infinity: when a polynomial or power of $x$ sits in the denominator and grows without bound, the whole expression gets crushed down to $0$. You don't need fancy algebra here—just think about what happens to $\frac{1}{\text{huge number}}$.