MATH 140 Lecture Notes - Lecture 7: And1, Asymptote, Bisection Method

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: Gulick

Document Summary

Math140 lecture 7 exam review: the first math140 exam will take place on friday, september 18. In lecture, dr. gulick passed out a sample examination that covers topics that will most likely be on the exam. If the limit is a number, evaluate it. Justify your: 1a: lim (cid:2870) (cid:884)(cid:1876)(cid:2870)+(cid:885)(cid:1876)+(cid:884, plug a in: (cid:884)(cid:4666)(cid:884)(cid:4667)(cid:2870)+(cid:885)(cid:4666)(cid:884)(cid:4667)+(cid:884)= (cid:884)(cid:4666)(cid:886)(cid:4667)+6+(cid:884)= 8+6+(cid:884)= (cid:883)6= (cid:886, 1b. lim (cid:2871) 2 9. (cid:4666) (cid:2871)(cid:4667: factor top (difference of squares): lim (cid:2871) (cid:4666)+(cid:2871)(cid:4667)(cid:4666) (cid:2871)(cid:4667) Find the slope of the line l tangent to the graph of h at (-2, h(-2)). Then write an equation of the line tangent to the graph of h at the same point. = lim (cid:2870)2 2 2+(cid:2870: slope of tangent line = lim (cid:2870)(cid:3033)(cid:4666)(cid:4667) (cid:3033)(cid:4666) (cid:2870)(cid:4667) +(cid:2870: simplify: lim (cid:2870)2+(cid:2869)+(cid:2870, find common denominator: lim (cid:2870)2++(cid:2870)= lim (cid:2870) 2++(cid:2870)= lim (cid:2870) (cid:2870)+ (cid:4666)+(cid:2870)(cid:4667, cancel like terms: lim (cid:2870)(cid:2869, plug in a: (cid:2869) (cid:2870), equation of the line: (cid:1877)+(cid:883)= (cid:2869)(cid:2870)(cid:4666)(cid:1876)+(cid:884)(cid:4667, 2b.