Let fn : (0,1) → R , f„(x) := x¯" sin(x"), n E N . Which of the following statements are true? Select one or more: a. fn converges uniformly to 1 on every interval (a, b) with a, b e (0, 1). O b....

limitation

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Extracted text: Let fn : (0,1) → R , f„(x) := x¯" sin(x"), n E N . Which of the following statements are true? Select one or more: a. fn converges uniformly to 1 on every interval (a, b) with a, b e (0, 1). O b. lim,-++∞ S fn(x)dx = 1. %3D C. fn converges uniformly to 1 on (0, 1). d. In(@) is integrable on (0,1) for some n E N