MATH 19A Study Guide - Midterm Guide: Quotient Rule, Product Rule
Document Summary
Math 19a, fall 2016 midterm exam ucsc, f. b auerle & l. lin, 11/05/16. Notes: put your answers in the provided boxes. No calculators are allowed, and please put away your cell phones and other electronic devices, turned o or in airplane mode. Answer the question by entering the answer in the box provided. If the limit does not exist, type dne. (a) lim x 2 x2 + x 6 x 2. Solution: x2 + x 6 lim x 2 x 2 (x 2)(x + 3) x 2. = lim x 2 x + 3 = 5 (b) lim x 0 sin(3x) tan(8x) Since x 5 , x takes values less than 5, then (5 x) > 0 and |5 x| = 5 x: x 5. Since x 5+, x takes values bigger than 5, then (5 x) < 0 and |5 x| = (5 x) = x 5: lim x 5+ x 5 x 5.
