求展开式子
rt
f(x) = 1 \cdot \frac{(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0-0.1)(0-0.2)(0-0.3)(0- 0.4)(0-0.5)(0-0.6)(0-0.7)(0-0.8)(0-0.9)(0-1)} \\ + 0.951351 \cdot \frac{(x-0)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.1-0)(0.1-0.2)(0.1-0.3) (0.1-0.4)(0.1-0.5)(0.1-0.6)(0.1-0.7)(0.1-0.8)(0.1-0.9)(0.1-1)} \\ + 0.918169 \cdot \frac{(x-0)(x-0.1)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.2-0)(0.2-0.1)(0.2-0.3) (0.2-0.4)(0.2-0.5)(0.2-0.6)(0.2-0.7)(0.2-0.8)(0.2-0.9)(0.2-1)} \\ + 0.897471 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.3-0)(0.3-0.1)(0.3-0.2) (0.3-0.4)(0.3-0.5)(0.3-0.6)(0.3-0.7)(0.3-0.8)(0.3-0.9)(0.3-1)} \\ + 0.887264 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.4-0)(0.4-0.1)(0.4-0.2) (0.4-0.3)(0.4-0.5)(0.4-0.6)(0.4-0.7)(0.4-0.8)(0.4-0.9)(0.4-1)} \\ + 0.886227 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.5-0)(0.5-0.1)(0.5-0.2) (0.5-0.3)(0.5-0.4)(0.5-0.6)(0.5-0.7)(0.5-0.8)(0.5-0.9)(0.5-1)} \\ + 0.893515 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.6-0)(0.6-0.1)(0.6-0.2) (0.6-0.3)(0.6-0.4)(0.6-0.5)(0.6-0.7)(0.6-0.8)(0.6-0.9)(0.6-1)} \\ + 0.908639 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.8)(x-0.9)(x-1)}{(0.7-0)(0.7-0.1)(0.7-0.2) (0.7-0.3)(0.7-0.4)(0.7-0.5)(0.7-0.6)(0.7-0.8)(0.7-0.9)(0.7-1)} \\ + 0.931384 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.9)(x-1)}{(0.8-0)(0.8-0.1)(0.8-0.2) (0.8-0.3)(0.8-0.4)(0.8-0.5)(0.8-0.6)(0.8-0.7)(0.8-0.9)(0.8-1)} \\ + 0.961766 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-1)}{(0.9-0)(0.9-0.1)(0.9-0.2) (0.9-0.3)(0.9-0.4)(0.9-0.5)(0.9-0.6)(0.9-0.7)(0.9-0.8)(0.9-1)} \\ + 1 \cdot \frac{(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0-0.1)(0-0.2)(0-0.3)(0-0.4)(0 -0.5)(0-0.6)(0-0.7)(0-0.8)(0-0.9)(0-1)} \\ \end{align*}$$ LateX: ``` $$\begin{align*} f(x) = 1 \cdot \frac{(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0-0.1)(0-0.2)(0-0.3)(0- 0.4)(0-0.5)(0-0.6)(0-0.7)(0-0.8)(0-0.9)(0-1)} \\ + 0.951351 \cdot \frac{(x-0)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.1-0)(0.1-0.2)(0.1-0.3) (0.1-0.4)(0.1-0.5)(0.1-0.6)(0.1-0.7)(0.1-0.8)(0.1-0.9)(0.1-1)} \\ + 0.918169 \cdot \frac{(x-0)(x-0.1)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.2-0)(0.2-0.1)(0.2-0.3) (0.2-0.4)(0.2-0.5)(0.2-0.6)(0.2-0.7)(0.2-0.8)(0.2-0.9)(0.2-1)} \\ + 0.897471 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.3-0)(0.3-0.1)(0.3-0.2) (0.3-0.4)(0.3-0.5)(0.3-0.6)(0.3-0.7)(0.3-0.8)(0.3-0.9)(0.3-1)} \\ + 0.887264 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.4-0)(0.4-0.1)(0.4-0.2) (0.4-0.3)(0.4-0.5)(0.4-0.6)(0.4-0.7)(0.4-0.8)(0.4-0.9)(0.4-1)} \\ + 0.886227 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.5-0)(0.5-0.1)(0.5-0.2) (0.5-0.3)(0.5-0.4)(0.5-0.6)(0.5-0.7)(0.5-0.8)(0.5-0.9)(0.5-1)} \\ + 0.893515 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0.6-0)(0.6-0.1)(0.6-0.2) (0.6-0.3)(0.6-0.4)(0.6-0.5)(0.6-0.7)(0.6-0.8)(0.6-0.9)(0.6-1)} \\ + 0.908639 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.8)(x-0.9)(x-1)}{(0.7-0)(0.7-0.1)(0.7-0.2) (0.7-0.3)(0.7-0.4)(0.7-0.5)(0.7-0.6)(0.7-0.8)(0.7-0.9)(0.7-1)} \\ + 0.931384 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.9)(x-1)}{(0.8-0)(0.8-0.1)(0.8-0.2) (0.8-0.3)(0.8-0.4)(0.8-0.5)(0.8-0.6)(0.8-0.7)(0.8-0.9)(0.8-1)} \\ + 0.961766 \cdot \frac{(x-0)(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-1)}{(0.9-0)(0.9-0.1)(0.9-0.2) (0.9-0.3)(0.9-0.4)(0.9-0.5)(0.9-0.6)(0.9-0.7)(0.9-0.8)(0.9-1)} \\ + 1 \cdot \frac{(x-0.1)(x-0.2)(x-0.3)(x-0.4)(x-0.5)(x-0.6)(x-0.7)(x-0.8)(x-0.9)(x-1)}{(0-0.1)(0-0.2)(0-0.3)(0-0.4)(0 -0.5)(0-0.6)(0-0.7)(0-0.8)(0-0.9)(0-1)} \\ \end{align*}$$ ``` AI 用不了，好心人帮我为给 AI加载中...