MATH 231 Chapter 2-2.3: MATH 231 Unit 2 Summary
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2. 1 the idea of limits limit of f(x) as x approaches a equals l. right-sided limit: suppose f is defined for all x near a with x > a. If f(x) is arbitrarily close to l for all x. 2. 2 definitions of limits: suppose the function f is defined for all x near a except possibly at a. Then lim (cid:1858)(cid:4666)(cid:4667)= if lim +(cid:1858)(cid:4666)(cid:4667)= and lim (cid:1858)(cid:4666)(cid:4667)=. limits of linear functions: let a, b, and m be real numbers. If lim (cid:1858)(cid:4666)(cid:4667)=lim (cid:4666)(cid:4667)=l, then lim (cid:1859)(cid:4666)(cid:4667)=: the squeeze theorem: assume the functions f, g, and h satisfy f(x) g(x) h(x) for all values of x near from the left equals l. 2. 3 techniques for computing limits limits of polynomial and rational functions: assume p and q are polynomials and a is a constant. can factor and cancel or use conjugates.
