当x→0时,f(x)=e^x-1+ax/1+bx为x的3阶无穷小,求a,b 的值class="ikqb_img" src="http://a.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=250ca2a600087bf47db95fefc2e37b14/aa18972bd40735fade54d3549c510fb30e2408b2.jpg" esrc="http://a.hiphotos.baidu.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 19:57:39
![当x→0时,f(x)=e^x-1+ax/1+bx为x的3阶无穷小,求a,b 的值class=](/uploads/image/z/13855286-38-6.jpg?t=%E5%BD%93x%E2%86%920%E6%97%B6%2Cf%28x%29%3De%5Ex-1%2Bax%2F1%2Bbx%E4%B8%BAx%E7%9A%843%E9%98%B6%E6%97%A0%E7%A9%B7%E5%B0%8F%2C%E6%B1%82a%2Cb+%E7%9A%84%E5%80%BCclass%3D%22ikqb_img%22+src%3D%22http%3A%2F%2Fa.hiphotos.baidu.com%2Fzhidao%2Fwh%253D600%252C800%2Fsign%3D250ca2a600087bf47db95fefc2e37b14%2Faa18972bd40735fade54d3549c510fb30e2408b2.jpg%22+esrc%3D%22http%3A%2F%2Fa.hiphotos.baidu.)
当x→0时,f(x)=e^x-1+ax/1+bx为x的3阶无穷小,求a,b 的值class="ikqb_img" src="http://a.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=250ca2a600087bf47db95fefc2e37b14/aa18972bd40735fade54d3549c510fb30e2408b2.jpg" esrc="http://a.hiphotos.baidu.
当x→0时,f(x)=e^x-1+ax/1+bx为x的3阶无穷小,求a,b 的值
class="ikqb_img" src="http://a.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=250ca2a600087bf47db95fefc2e37b14/aa18972bd40735fade54d3549c510fb30e2408b2.jpg" esrc="http://a.hiphotos.baidu.com/zhidao/wh%3D450%2C600/sign=5a405a0e552c11dfde84b72756174ee6/aa18972bd40735fade54d3549c510fb30e2408b2.jpg" />分子e^x用泰勒公式展开后,分母的(1+bx)怎么就没了?
当x→0时,f(x)=e^x-1+ax/1+bx为x的3阶无穷小,求a,b 的值class="ikqb_img" src="http://a.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=250ca2a600087bf47db95fefc2e37b14/aa18972bd40735fade54d3549c510fb30e2408b2.jpg" esrc="http://a.hiphotos.baidu.
x^3·(1+bx)=x^3+b·x^4
x^4 是 x^3 的高阶无穷小
所以 x^3·(1+bx) 是 x^3 的等价无穷小,从而 x^3·(1+bx)就被 x^3代替了