Let fn(x) = sin" x and let 8 > 0. a) Prove: fn converges uniformly on [0, 5 – 8], but not uniformly on [0, ). b) In which sense does fn converge on [0, 7/2)? Prove your claim. 2.67 %3D

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2.67 Let fn(x) = sin" x and let d > 0.
a) Prove: fn converges uniformly on [0, 5 - 8), but not uniformly on [0, ).
b) In which sense does fn converge on 0, 7/2)? Prove your claim.
Transcribed Image Text:2.67 Let fn(x) = sin" x and let d > 0. a) Prove: fn converges uniformly on [0, 5 - 8), but not uniformly on [0, ). b) In which sense does fn converge on 0, 7/2)? Prove your claim.
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