[PDF] 59 Representations of Functions as a Power Series



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Se consideră funcţia f:0, , () 8 fx x lnx2 BAC 2016 OLIMPICI a)Arătați că fx xl 22 2xx,0, x b)Determinați intervalele de monotonie a funcției f c)Demonstraţi că ecuaţia fx 0 are două soluţii reale distincte SOLUȚIE: a) 2 2



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59 Representations of Functions as a Power Series

5 9 Representations of Functions as a Power Series Brian E Veitch 2 3 x = X1 1 2 3 x 3 n 1 3 Express x 2x2 + 1 as a power series Rewrite x 2x2 + 1 as x 1 1 + 2x2 = x 1 1 ( 2x2) If we let r = 2x2, we get





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