lim x →2 (2/2x-x^2 +1/x^2-3x+2)求极限

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 05:23:33
lim x →2 (2/2x-x^2 +1/x^2-3x+2)求极限

lim x →2 (2/2x-x^2 +1/x^2-3x+2)求极限
lim x →2 (2/2x-x^2 +1/x^2-3x+2)求极限

lim x →2 (2/2x-x^2 +1/x^2-3x+2)求极限
原式=lim[-2/x(x-2)+1/(x-1)(x-2)]
=lim[(-2x+2+x)/x(x-1)(x-2)]
=lim[-(x-2)/x(x-1)(x-2)]
==lim[(-1/x(x-1)]
=-1/2*1
=-1/2