(1-cosX)/X当X趋于0时的极限是多少？
lim(x→0)(1-cosx)/x=lim(x→0)(1-cosx)'/x'=lim(x→0)sinx=0,9,cos x=1-2(sin x/2)^2当X趋于0时, cos x=1-(x^2)/2
原式=x/2
最后结果 0,2,
绛旓細1-cosx = 2sin²(x/2)锛涗簩鍊嶈浣欏鸡鍏紡cos2x=1-2sin^2x锛屾墍浠 cosx=1-2sin^2(x/2)銆
绛旓細1-cosx =1-(1-2sinx/2 ^2)=2sin^2(x/2)褰搙鈫0鏃讹紝sinx/2 鈫0銆傛墍浠ワ紝1-cosx=2sin^2(x/2)銆傛墍浠ワ細1-cosx=2sin²(x/2)~2脳(x/2)²~x²/2銆傛墍浠ワ細1-cosx鐨勭瓑浠锋棤绌峰皬涓簒²/2銆傛眰鏋侀檺鍩烘湰鏂规硶鏈夛細1銆佸垎寮忎腑锛屽垎瀛愬垎姣嶅悓闄や互鏈楂樻锛屽寲鏃犵┓澶т负鏃犵┓灏...
绛旓細1-cosx涓嶈兘浠0鐨勫乏杈硅秼浜0銆傚洜涓篶osx<=1,1-cosx>=0銆傛墍浠ワ紝1-cosx鍙彲鑳戒粠0鐨勫彸杈硅秼浜0銆備笁瑙掑嚱鏁板叕寮 sin(A+B) = sinAcosB+cosAsinB 銆俿in(A-B) = sinAcosB-cosAsinB 銆俢os(A+B) = cosAcosB-sinAsinB 銆俢os(A-B) = cosAcosB+sinAsinB 銆倀an(A+B) = (tanA+tanB)/(1-tanAtanB...
绛旓細鍥犱负sinx/cosx 锛漷anx 鎵浠ワ紝sinx锛漜osx 脳tanx tanx-sinx锛漷anx脳锛1-cosx锛夎繖鏄竴涓父鐢ㄧ殑鍙樺舰锛屽繀椤荤伒娲绘帉鎻°傛杩庤拷闂笇鏈涢噰绾筹紒
绛旓細鈭 1-cosx = 1 - {1-2sin²(x/2)} = 2sin²(x/2)鍙 鈭 sin(x/2) 涓 (x/2) 鏄瓑浠锋棤绌峰皬 鈭 2sin²(x/2) 涓 2 * (x/2) ² 鍗 (x²)/2 鏄瓑浠锋棤绌峰皬 鈭 1-cosx鐨勬瀬闄愮瓑浜 (x²)/2 鐨勬瀬闄 ...
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