[分析] 一題有關uniform convergence(from Apostol)

[bineapple (パイナップル)]

           ∞
Prove that Σ(x^(2n+1)/(2n+1)-x^(n+1)/(2n+2)) converges pointwise
           n=0
but not uniformly on [0,1].

我會證pointwise的部份 可是uniformly的部份就想不太到了...

有高手能給些提示嗎?? 謝謝>"<

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Fermat's Last Theorem:

There are no positive integers a, b, c satisfy the identiy
a^n+b^n=c^n, where n is an integer greater than 2.

Proof: The proof is trivial so we leave it to the reader as an exercise.

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