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Pointwise and Uniform Convergence of Sequences of Functions (7.1)
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日期:2025-05-28
0.4 0.6 0.8 x 0 0.2 2.5 1.5 1 0.5 1 2 0 Figure 3. Uniform convergence Example 16. Prove that the sequence {f n} = n nx2+1 nx+1 o converges uniformly on the interval [1,2]. Proof: We must first find a candidate for the uniform limit by taking the pointwise l...看更多