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Name: Exercise 3. Find f(x) = limn→∞ fn (x) on S. Show that (fn)n converges
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Description: Exercise 3. Find f(x) = limn→∞ fn (x) on S. Show that (fn)n converges uniformly to f on closedsubsets of S.1fn (x) =S = {x : x + ±1}.-1+ x2n'

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Exercise 3. Find f(x) = limn+00 fn(x) on S. Show that (fn)n converges uniformly to f on closed subsets of S. 1 fn(2) = S = {r : x # ±1}. - 1+ x2n

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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Sequence and Series

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Exercise 3. Find f(x) = limn→∞ fn (x) on S. Show that (fn)n converges uniformly to f on closed
subsets of S.
1
fn (x) =
S = {x : x + ±1}.
-
1+ x2n'

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