[ 東京工業大学 1956 年 解析Ⅱ 2 ]
( )
f x を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。
全文
[ 東京工業大学 1956 年 解析Ⅱ 2 ]
( )
f x を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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