MATH 161 Study Guide - Final Guide: Asymptote, Implicit Function, Difference Quotient
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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,
