MATH 161- Final Exam Guide - Comprehensive Notes for the exam ( 81 pages long!)

• School: CSU
• Department: Mathematics
• Course: MATH 161
• Professor: antonbetten

Document Summary

If a, b, and c are sides of a triangle abc and if is the angle opposite c, then: c2 = a2 + b2 - 2abcos . 2. 2: limit of a function and limit laws. Lim p(x) = p(c) = ancn + an-1cn-1 + + a0. If p(x) and q(x) are polynomials and q(c) does not equal 0, then: The sandwich theorem: suppose that g(x) (x) h(x) for all x in some open interval containing c, except possibly at x = c itself. If (x) g(x) for all x in some open interval containing c, except possibly at x = c itself, and the limits of and g both exist as x approaches c, then lim (x) lim g(x). Definition: let (x) be defined on an open interval about c, except possibly at c itself. We say that the limit of (x) as x approaches c is the number l, and write lim (x) = l,