MTH 132 Study Guide - Final Guide: Intermediate Value Theorem

• School: MSU
• Department: Mathematics
• Course: MTH 132
• Professor: All

Document Summary

Instructions: you will be given exactly 90 minutes for this exam, no calculators, phones, or any electronic devices. I have read and understood all of the above instructions: Covers: 2. 1-3. 5: evaluate the following limits. x2 2x x2 x + 2. 4 2 + 2 (a) (8 points) lim x 2 x2 2x x2 x + 2 lim x 2. 2x2 8x x2 6x + 8 lim x 4. 2x(x 4) (x 4)(x 2) (c) (8 points) lim t 25 t 25 t 5 lim t 25 t 25 t 5 (t 25)( t + 5) t 5)( t + 5) = lim t 25 t + 5) = 5 + 5 = 10 (t 25)( t 25 t + 5) Covers: 2. 1-3. 5 sin(y2 + 4y) (d) (8 points) lim y 0 sin(y2 + 4y) = lim y 0 sin(y2 + 4y) y2 + 4y y2 + 4y. = 1 lim y 0 y2 + 4y.