求助高手解决高数问题f''(x)在[a,b]上连续,证明f ''(x)在[a,b]上连续,证明:存在一个m,使f(x)在a(下限),b上的定积分等于1/2(b-a)f(1/2 a + 1/2 b) + 1/24 (b-a)^3 f ''(m)非常感谢
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![求助高手解决高数问题f''(x)在[a,b]上连续,证明f ''(x)在[a,b]上连续,证明:存在一个m,使f(x)在a(下限),b上的定积分等于1/2(b-a)f(1/2 a + 1/2 b) + 1/24 (b-a)^3 f ''(m)非常感谢](/uploads/image/z/5571096-24-6.jpg?t=%E6%B1%82%E5%8A%A9%E9%AB%98%E6%89%8B%E8%A7%A3%E5%86%B3%E9%AB%98%E6%95%B0%E9%97%AE%E9%A2%98f%27%27%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E8%AF%81%E6%98%8Ef+%27%27%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E8%AF%81%E6%98%8E%3A%E5%AD%98%E5%9C%A8%E4%B8%80%E4%B8%AAm%2C%E4%BD%BFf%28x%29%E5%9C%A8a%28%E4%B8%8B%E9%99%90%29%2Cb%E4%B8%8A%E7%9A%84%E5%AE%9A%E7%A7%AF%E5%88%86%E7%AD%89%E4%BA%8E1%2F2%28b-a%29f%281%2F2+a+%2B+1%2F2+b%29++%2B+++1%2F24+%28b-a%29%5E3+f+%27%27%28m%29%E9%9D%9E%E5%B8%B8%E6%84%9F%E8%B0%A2)
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