Question: 17. Consider Y, = 1 - cos(2anU), where U ~ U(0, x) for x e [0, 1]. Verify Fatou's Lemma 2.40 by showing that E

![x) for x e [0, 1]. Verify Fatou's Lemma 2.40 by showing](https://s3.amazonaws.com/si.experts.images/answers/2024/06/6668770f6d5a4_2556668770f54b02.jpg)
17. Consider Y, = 1 - cos(2anU), where U ~ U(0, x) for x e [0, 1]. Verify Fatou's Lemma 2.40 by showing that E lim inf Y, = 0
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