01:640:151 Study Guide - Final Guide: Antiderivative, Mean Value Theorem, Asymptote
Document Summary
Solutions* to the review problems for the final exam, math 151. Disclaimer: we believe the answers to be correct, but we assume no responsibility to any damage due to possible errors and/or typos: find the following limits, lim x 1 (x2 2x + 1, lim x . 2 sin 5x: lim x 0, lim x . Solution to 1. (a) plugging in we get ( 1)2 2( 1) + 1 = 4. Answer to 1a) 4 (b) forgetting about the little ones we get. Answer to 1b) (c) when the argument of sin goes to 0, you can replace sin w by w, hence sin 3x. Answer to 1c) 3/10: it is better to replace ex by another variable, let"s call it y. 5ex + 4e x = lim y lim x . Now forgetting about the little ones" this equals.
