数学infinite limit的题!Evaluate the following limits.Enter INF or -INF .(a) (b) (c)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 10:45:11
数学infinitelimit的题!Evaluatethefollowinglimits.EnterINFor-INF.(a)(b)(c)数学infinitelimit的题!Evaluatethefo

数学infinite limit的题!Evaluate the following limits.Enter INF or -INF .(a) (b) (c)
数学infinite limit的题!
Evaluate the following limits.Enter INF or -INF .
(a)  

(b)  

(c)  

数学infinite limit的题!Evaluate the following limits.Enter INF or -INF .(a) (b) (c)
(a).x→0lim[2/x^(2/7)]=+∞
(b).x→π/6lim(x⁶tan3x)=+∞
(c).x→(π/4)⁻lim(x⁵sec2x)=x→(π/4)⁻lim(x⁵/cos2x)=+∞
注:直接写出答案,因为这a,c两题的分子或者是正的定数或者趋于一个正的定数,而分母都是从大于0的方向靠近0,故极限都是+∞;第b题x→π/6时x⁶→(π/6)⁶,tan3x→tan(π/2)
=+∞.