Find the first three nonzero terms of the Taylor series about 0 for the function below

题目

Find the first three nonzero terms of the Taylor series about 0 for the function below
t*sin(t^2)-t^3

答案

找出以下函数在0处的泰勒展开式的前三个非零项.t*sin(t^2)-t^3= = = = = = = = =由Maclaurin公式,sin(x)=x-(x^3)/3!+(x^5)/5!-(x^7)/7!+o(x^8)=x-(x^3)/6+(x^5)/120-(x^7)/5040+o(x^8),其中o(x^8)表示x^8的高阶无穷...