Let fn : (0, 1) –→ R, fn(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). b. lim,→+∞...

limitation

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Extracted text: Let fn : (0, 1) –→ R, fn(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). b. lim,→+∞ So fn(x)dx = 1. C. fn converges uniformly to 1 on (0, 1). d. In(@) is integrable on (0, 1) for some n E N