studying for a calc exam. can someone explain lagrange error bound in plain english? the textbook makes no sense to me.
hey i remember how confusing that was for calc. tbh, the lagrange error bound is basically just a way to figure out the *worst case scenario* for how wrong your taylor polynomial approximation is. like, if you use a taylor poly to guess a value, this bound tells you the absolute maximum your guess could be off by. you gotta find the max value of the *next* derivative on the interval and plug it into the formula. it's kinda like a safety net for your approximation, gives you confidence in how good your 'guess' really is. hope that helps clear it up a bit! good luck with the exam!
