series

Laboratory Project in Sec.3.10, Calculus by Stewart Chinese version: 泰勒級數 The tangent line approximation $L(x)$ is the best first-degree (linear) approximation to $f(x)$ near $x=a$ because $f(x)$ and $L(x)$ have the same rate of change (derivative) at $x=a$. For a better approximation than a linear one, let’s try a second-degree (quadratic) approximation $P(x)$. In other words, we approximate a curve by a parabola instead of a straight

Laboratory Project in Sec.3.10, Calculus by Stewart 英文版請見 Taylor polynomials 在近似函數 $f(x)$ 在 $x=a$ 的值時，切線逼近函數(tangent line approximation) $L(x)$ 是線性逼近(linear approximation)中