如图求极限如图求极限
0比0型,洛必达 法则:
lim 2sinxcosx-1/2*sin2x-xcos2x
= x->0 ------------------------------
4x^3
0比0型,
lim 2cosxcosx-2sinxsinx-cos2x-cos2x+2xsin2x
= x->0 -----------------------------------------
12x^2
化简,
lim xsin2x
= x->0 ----------
6x^2
0比0型,
lim sin2x+2xcos2x
= x->0 -----------------
12x
...全部
0比0型,洛必达 法则:
lim 2sinxcosx-1/2*sin2x-xcos2x
= x->0 ------------------------------
4x^3
0比0型,
lim 2cosxcosx-2sinxsinx-cos2x-cos2x+2xsin2x
= x->0 -----------------------------------------
12x^2
化简,
lim xsin2x
= x->0 ----------
6x^2
0比0型,
lim sin2x+2xcos2x
= x->0 -----------------
12x
0比0型,
lim 2cos2x+2cos2x-4xsin2x
= x->0 -----------------------
12
=1/3
。
收起
