(Section 2.7: Precise Definitions of Limits) 2.7.9 PART D: “LONG-RUN” LIMITSThe precise definition of limx±afx()=Lcan also be modified for “long-run” limits. Again, the onlychanges are the x-intervals where we look for winners. (See red type.)Our x-intervals of interest will be unbounded. • Therefore, we will use interval form instead of absolute value notation when describing these x-intervals. • Also, instead of using ±, we will use M(think “Million”) and N(think “very Negative”) to denote “points of no return.” The Precise-MDefinition of limx²³=LFor L±±, and for a functionfdefined on an interval of the form
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