lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?

来源：学生作业帮助网编辑：六六作业网时间：2024/12/19 00:26:19

lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?将(1-

lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?
lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?

lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?
将(1-√x)/(1-x^(1/3))分子分母同乘以它们的有理化因式后约去为0的因式1-x,得
(1-√x)/(1-x^(1/3))=(1+x^(1/3)+x^(2/3))/(1+√x),
再取极限得原式=3/2.

lim x趋近于1 x^2趋近于1 x趋近于0 lim(x+e^x)^1/x lim(x趋近于1)x^3-1/x-1 lim x趋近于0 1-根号1-x/x lim ln(1+x)^ 1/x x趋近于0 当x趋近于0 lim(1-x)^(1/x) lim x趋近于0 ((1+2^x)/)^(1/x) lim(1-(1/x))^(x-2) x趋近于无穷 lim(sinx+e^x)^(1/x) x趋近于0 lim (e^(1/x))/x (x趋近于0-) Lim (x趋近于正无穷)x^1/x lim(x-sinx/x+sinx) x趋近于1 lim （x趋近于正无穷） cos(1-x/1+x) lim（x趋近于正无穷）（(√x(x+a))-x） Lim(sinx/x)^1/(1-cosx) X趋近于0 lim (1 x)/【1-e^(-x)】趋近于0 lim[lnx/x-1] X趋近于1... 求LIM(1-COSX)/X*SINX X趋近于0 x趋近于无穷 lim [xsin(1/3x) ]=?