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求解下面极限,谢谢(*°∀°)=3
1个回答
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解......ln(cosx) ............ (1/cosx)(-sinx)
lim----------------- = lim-----------------------
x→0........x²...... x→0 ..............2x
即..........-sinx........................ -cosx ..............-1
lim----------------- = lim-----------------------= ---------------
x→0...2xcosx.......x→0... 2cosx-2xsinx.........2
原式=-1/2
0/0型,分子分母同求导
lim----------------- = lim-----------------------
x→0........x²...... x→0 ..............2x
即..........-sinx........................ -cosx ..............-1
lim----------------- = lim-----------------------= ---------------
x→0...2xcosx.......x→0... 2cosx-2xsinx.........2
原式=-1/2
0/0型,分子分母同求导
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