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p"l>!>osr wr make a mistake and apply l/Hospital'* Rule. If f(r) = V /И = ¡Mr* If v(.r) = 2 + sin4x, then ,,'(.r) - U (»s4.r 20er>* liin - = 5. J -U4cOs4z . u,rij! I his mistake might cause us to think that the value of lim - is 5. .r-»o 2 + sin 4x I Hospital's Hule is sometimes used to find exotic limits. This is usually done in a wa\ that takes advantage of the continuity of the function ex. Hie most popular such function is rs. In case you meet a person in a dark alloy Into at night and he points a gun at you and says i want to discuss the function xJ" vou need to he prepared. First, /(.r) = < J = r' " '. I his 214
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