21. Let (gn) be a sequence of Riemann integrable functions from [0, 1] into R such that |gn (x)| ≤ 1 for all n, x. Define = f₁" Bu (0) Gn(x) = ܘܢ 8n (1) dt.

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Chapter2: Second-order Linear Odes
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21. Let (gn) be a sequence of Riemann integrable functions from [0, 1]
into R such that Ign(x)| ≤ 1 for all n, x. Define
Gn(x) = = √₁² 8
Prove that a subsequence of (G₁) converges uniformly.
8n (t) dt.
Transcribed Image Text:21. Let (gn) be a sequence of Riemann integrable functions from [0, 1] into R such that Ign(x)| ≤ 1 for all n, x. Define Gn(x) = = √₁² 8 Prove that a subsequence of (G₁) converges uniformly. 8n (t) dt.
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