17. Consider yn = 1 - cos(29nU), where U - U(0,x) for x € [0, 1]. Verify Fatou's Lemma 2.40 by showing that Blim inf Y,

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17 Consider Yn 1 Cos 29nu Where U U 0 X For X 0 1 Verify Fatou S Lemma 2 40 By Showing That Blim Inf Y 1 (26.54 KiB) Viewed 32 times

17. Consider yn = 1 - cos(29nU), where U - U(0,x) for x € [0, 1]. Verify Fatou's Lemma 2.40 by showing that Blim inf Y, = 0 5 1 = lim inf By, You may use Dirichlet's approximation theorem, which states that for any real numbers r and 0 < 8 S 1, we can find integers n and k such that n € [1,&-') and nr - kl <E. n