(Section 2.7: Precise Definitions of Limits) 2.7.10. How Does the Static Approach to limx±²fx()=LMeld with theDynamic Approach?Why is limx1x+2³´µ¶·¸=2? Because, regardless of how small we make the tolerance level ±and how tight we make the lottery for the players, there is a “point of no return” Mafter which all the players win; in other words, the corresponding shaded region traps the graph of f. As ²0+, we can choose values for Min such a way that the shaded region always traps the graph and zooms in, or collapses in, on the HA
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