[高微] m-test

[TampaBayRays (坦帕灣光芒)]

Prove that x屬於[-1,1],fn(x)=sigma(x=1~n) (x^k)/(k*2^k),

∣(x^k)/(k*2^k)∣≦1/(2^k)

Then {fn},converge uniformly in [-1,1]

(Hint : by m-test)

謝謝

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推 znmkhxrw    :阿就因為 sigma 1/(2^k) 收斂 , by M-test , 得證
→ znmkhxrw    :如果你是要問M-test是啥 wiki or 書上一定有血
→ znmkhxrw    :                                         寫