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とくに f x( )(x)(x)のとき,問題の極限値はどうなるか

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[ 東京工業大学 1956 年 解析Ⅱ 2 ]

( )

f x xについて微分できる関数とするとき,次の極限値を求めよ。

lim (0)

k

n

n x

f f

k n



     

   

 

 

ただし, n k

  

 は相異なるn個のものからk個をとり出す組合せの数を表す。

とくに f x( )(x)(x)のとき,問題の極限値はどうなるか。

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