lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]谢谢了,lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]求详细解答过程

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lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]谢谢了,lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]求详细解答过程
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lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]谢谢了,lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]求详细解答过程
lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]谢谢了,
lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]求详细解答过程

lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]谢谢了,lim(x→0)[6(x/sinx)ln(1+2x)^(1/2x)]求详细解答过程
lim(x→0)(x/sinx)=1 lim(x→0)ln(1+2x)^(1/2x)=1/2 lim(x→0)(1+2x)/x=1/2 lim(x→0)2x/x=1所以原式等于6(x→0)(x/sinx)lim(x→0)(x/sinx)=6*1*1=6