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解析学 I 小テスト No. 1

(1) ( sin x+cos−1 x (2) { (x+1)x}′ (3) ( cosh x )(n) ( ) (4) ( x sinx )(n

(1) ( sin x+cos−1 x (2) { (x+1)x}′ (3) ( cosh x )(n) ( ) (4) ( x sinx )(n

In のとき，0 ≤ sin x ≤ 1 In =n − 1 n , n ≥ 3 1 ≤ In = n + 1 n =1+ 1 n

In のとき，0 ≤ sin x ≤ 1 In =n − 1 n , n ≥ 3 1 ≤ In = n + 1 n =1+ 1 n

(1) ∑ ( 1 − 1 n )n2 (2) ∑ sin(nx) n2 2. (a) ∑ xn n! (b) E(x) = ∑ xn n! 3

(1) ∑ ( 1 − 1 n )n2 (2) ∑ sin(nx) n2 2. (a) ∑ xn n! (b) E(x) = ∑ xn n! 3