泰勒公式可以这样用?f(a+h)=f(a)+f'(a)h+f''(a)h²/2!+o(h²)

问题描述:

泰勒公式可以这样用?f(a+h)=f(a)+f'(a)h+f''(a)h²/2!+o(h²)

这个式子是以f(x)在a点展开为原型,代入点a+h计算.首先f(x)在a点展开:f(x) = f(a) + f'(a) (x - a) + f''(a) (x - a)² / 2!+ o(x - a)²将x = a + h代入:f(a + h) = f(a) + f'(a) h + f''(a) h² / 2!...