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Elementary Subsets of the Plane
Limits and Continuity
6 other sections not shown
agree to say Applying Theorem compact interval compute conclude Consequently consider continuous function coordinates critical points decreasing derivative distance dmn G Draw a graph end point equal equation Example exists a positive exists a real expa finitely many elements formula function G function whose domain Furthermore geometric given positive number graphed in Figure greatest element greatest lower bound Hence highest points horizontal implies that A(u Inasmuch increasing on dmn inequality intersects jointly imply least element least upper bound lim A(u lowest points maxima and minima maximum minima minimum natural number negative number non-empty number q number x observe obtain ordered pairs plane points of inflection positive integer propositions prove the following range rational numbers relation replaced Section 3.1 Similarly slope subset superposition Suppose symbol tangent line u e dmn univalent function vertical straight line x e dmn