求极限(x趋向于负0) 2^(1/X)/arctanX

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/27 10:44:26
求极限(x趋向于负0) 2^(1/X)/arctanX
x){ټƗ3'hTt'^lo~OQ~~bQrIb^MR>I lȰŶTkiWij4 A\MC5 h:IyNfF.>꘧YlhnaT[u~qAb(x

求极限(x趋向于负0) 2^(1/X)/arctanX
求极限(x趋向于负0) 2^(1/X)/arctanX

求极限(x趋向于负0) 2^(1/X)/arctanX
极限(x趋向于负0) 2^(1/X)/arctanX
=极限(x趋向于负0) 2^(1/X)*(-1/x^2)*ln2/(1/(1+x^2))
=极限(x趋向于负0) 2^(1/X)*(-(1+x^2)/x^2)*ln2
=-ln2*极限(x趋向于负0) 2^(1/X)/x^2
=-ln2*lim(t---->-∞)t²/2^(-t)
=0