This Sounds Like Derivation With Extra Steps

The mathematical trauma is real! When you're trying to solve a problem using Taylor series, those higher-order terms start looking like unwanted guests at your calculation party. Just like Woody getting tossed aside, mathematicians routinely discard these terms with a casual "negligible for small values" hand-wave. The irony? Those abandoned terms often contain the exact complexity you were trying to avoid by using the approximation in the first place. Next time your professor says "just ignore the higher order terms," remember that somewhere, those terms are crying "I don't want to play with you anymore."