(B) Let {fn(x)}ı = {xlnx. cos(x –1)"}1 be a sequence of meaurable functions defined over [1,2]. Show that: (a) {fn(x)}=1 converges to a function f(x) to be determined. (b) Show that fn(x) is dominated by some integrable function for all n. Then apply the dominated convergence theorem %3D In=1 2 to evaluate Lim x In r.cos(x - 1)" dµ . n 00

(B) Let {fn(x)}ı = {xlnx. cos(x –1)"}1 be a sequence of meaurable functions defined over [1,2]. Show that: (a) {fn(x)}=1 converges to a function f(x) to be determined. (b) Show that fn(x) is dominated by some integrable function for all n. Then apply the dominated convergence theorem %3D In=1 2 to evaluate Lim x In r.cos(x - 1)" dµ . n 00

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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