real analysis For items (5)-(7), consider the sequence defined by1 -nx,0fn(2) =if 0≤x≤ 1/n;if > 1/n.z. Let f be the pointwise limit of f on [0, 00). Which of the following is true?(a) f is continuous on [0, ∞o).(b) f is constant on [0, ∞).(d) f is integrable on [0, 1].(c) f(x) = 0 for all > 0.41

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Answered: fn(2) (a) f is continuous on [0, 00).…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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fn(2) (a) f is continuous on [0, 00). (c) f(x) = 0 for all z ≥ 0. nx, if 0≤x≤1/n; if x > 1/n. =. Let f be the pointwise limit of f on [0, 0o). Which of the following is true? (b) f is constant on [0,00). (d) f is integrable on [0, 1].