Chapter 2.7, Problem 37E

Limit proofs Use the precise definition of a limit to prove the following limits. Specify a relationship between ε and δ that guarantees the limit exists.

37.     $\underset{x\to 0}{\lim }\left(x^2+x^4\right)=0$ (Hint: You may use the fact that if $\left|x\right|<c$, then $x^2<c^2$.)