lim(1-cosx)/(x^2)=?(x-->0) 答案是1。

热心网友

lim(1-cosx)/(x^2)=?(x--0) 答案是1。lim(1-cosx)/(x^2) = lim2*[sin(x/2)]^2/x^2 =(1/2)*lim [sin(x/2)]^2/(x/2)^2         =(1/2)*lim[sin(x/2)/(x/2)]^2 = 1/2 (x-0时)

热心网友

当x→0时,1-cosx~(x^2)/2,所以答案应该是1/2。

热心网友

x--0时: lim(1-cosx)/(x^)=lim[(1-cos^x)/x^/(1+cosx)]=[lim(sinx/x)]^/lim(1+cos)=1/2