Problem 1. Consider the series of functions f(x) = Ln³x +1' x > 0. n=1 (i) Prove that the series converges uniformly on [a, oo), for every a > 0. (ii) Prove thatf is differentiable on (0, o0). (iii) Prove that the series does not converge uniformly on (0, ∞).
Problem 1. Consider the series of functions f(x) = Ln³x +1' x > 0. n=1 (i) Prove that the series converges uniformly on [a, oo), for every a > 0. (ii) Prove thatf is differentiable on (0, o0). (iii) Prove that the series does not converge uniformly on (0, ∞).
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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