lim(1-cosx)/x2 x趋向于0

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lim(1-cosx)/x2x趋向于0lim(1-cosx)/x2x趋向于0lim(1-cosx)/x2x趋向于00/0型求导limf/g=limf''/g''lim(1-cosx)/x2=lim(1-c

lim(1-cosx)/x2 x趋向于0
lim(1-cosx)/x2 x趋向于0

lim(1-cosx)/x2 x趋向于0
0/0型求导
limf/g=limf'/g'
lim(1-cosx)/x2 =lim(1-cosx)'/(x^2 )'
=lim(sinx)/2x
=lim(sinx)'/(2x)'
=lim(cosx/2)
=1/2

(1-cosx)/x2=(1-1+sinx(x2/2))/x2
所以它的极限等于1