Question: Let o be an irrational number whose continued fraction has partial quotients 90, 91, 92, . . ., and convergents Ao/Bo, A1/ B1, A2/ B2,

$Let o be an irrational number whose continued fraction has partial$

Let o be an irrational number whose continued fraction has partial quotients 90, 91, 92, . . ., and convergents Ao/Bo, A1/ B1, A2/ B2, . . .. Show that 00 (-1) m a = 90 + m=0 Bm Bm+1 Hint: consider C(Am+1/ Bm+1 - Am/ Bm)

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