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2. For each n E N, let fn : [0, 1] → R be defined by fn(2) = xn 1+xn Prove that (fn) converges pointwise on [0, 1]. Write a formula for the pointwise limit f : [0, 1] → R.

2. For each n E N, let fn : [0, 1] → R be defined by fn(2) = xn 1+xn Prove that (fn) converges pointwise on [0, 1]. Write a formula for the pointwise limit f : [0, 1] → R.

Advanced Engineering Mathematics
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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Real Analysis II Please follow exact hints and write formula
2 For each n E N, let fn [0, 1] → R be defined by xn 1+xn fn(2) = Prove that (fn) converges pointwise on [0, 1]. Write a formula for the pointwise limit ƒ : [0, 1] → R.
Transcribed Image Text:2 For each n E N, let fn [0, 1] → R be defined by xn 1+xn fn(2) = Prove that (fn) converges pointwise on [0, 1]. Write a formula for the pointwise limit ƒ : [0, 1] → R.
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