MAT1330- Final Exam Guide - Comprehensive Notes for the exam ( 23 pages long!)

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1330
• Professor: Catalin Rada

Document Summary

Study guide lim x 2 lim x 2+ h(x) = 4 h(x) = 4 exists and is equal to 4. Lim x 2 even though the function wasn"t de ned at x = 2! Eg) j(x) = x 1 x+2 isn"t de ned at x = 2 (we can"t divide by zero) lim x 2 j(x) = 2+x x isn"t de ned at x = 0. lim x 0 k(x) = 0 x(x + 1) x lim x 0 k(x) = 0 + 1 = 1. Suppose lim x a f (x) and lim x a g(x) exist. Then: lim x a, lim x a, lim x a x a. [f (x) g(x)] = lim f (x) How can we nd the limit lim x 0. This limit doesn"t quite exist but at least we have an idea of what it"s doing. 1 x doesn"t exist either, but we still know what it"s doing.