Let f,(x) = exp(-r") +1, for all IE [0, 1], for all n € N.1. (fn)n converges pointwise to f: 0, 1] R where f(x) = 2 forall r E (0, 1].2. (fn), is increasing and lim7 = Titp (x)"f3. (fn)u converges uniformly [0, 1].4. (S.), is decreasing and limf(2) du # lim f(z) du.124

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Let fn(x) = exp(-2")+1, for all r E [0, 1], for all n E N. 1. (fa)n converges pointwise to f: [0, 1)→R where f(z) = 2 forall z € (0, 1]. 2. (S)n is increasing and limfn(x) dµL = 2. 3. (f)n converges uniformly [0, 1]. 4. (Sm)n is decreasing and lim Titp (x)" lim f.(r) dµL.

Let fn(x) = exp(-2")+1, for all r E [0, 1], for all n E N. 1. (fa)n converges pointwise to f: [0, 1)→R where f(z) = 2 forall z € (0, 1]. 2. (S)n is increasing and limfn(x) dµL = 2. 3. (f)n converges uniformly [0, 1]. 4. (Sm)n is decreasing and lim Titp (x)" lim f.(r) dµL.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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