FanFan 發問時間: 科學數學 · 10 年前

急 求高等微積分解題

拜託大家幫忙回答一下了~這真的很急!!謝了

圖片參考:http://imgcld.yimg.com/8/n/AF02914799/o/1611031304...

3 個解答

評分
  • 10 年前
    最佳解答

    All using Weierstrass M-Test

    1 Σ |x^n/2^n|

    <= Σ 1/2^n

    Since Σ 1/2^n = 1 , this implies that Σ x^n/2^n is uniform convergent on [-1,1]

    2 Σ |a_n sin nx|

    <= Σ |a_n|

    Since Σ |a_n| converge, this implies that Σ a_n sin nx is uniform convergent.

    3 Σ |cos nx/n^2|

    <= Σ 1/n^2

    Since Σ 1/n^2 = π^2/6 , this implies that Σ cos nx/n^2 is uniform convergent on [-π,π]. This follows that the f(x) is continuous (uniformly convergent limits of continuous functions are continuous).

  • 10 年前

    我知道...我明天要考...所以我才想要弄懂...可是你們寫得都好複雜

  • 10 年前

    都是用M-test 三行就出來了

    你要試著去寫他

    這樣考試的時候才會寫

還有問題?馬上發問,尋求解答。