(1)lim(x-->0+)(tanx)^sinx .(2)lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]怎么求

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(1)lim(x-->0+)(tanx)^sinx .(2)lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]怎么求
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(1)lim(x-->0+)(tanx)^sinx .(2)lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]怎么求
(1)lim(x-->0+)(tanx)^sinx .(2)lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]怎么求

(1)lim(x-->0+)(tanx)^sinx .(2)lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]怎么求
lim(x-->0+)(tanx)^sinx =limx^x=1
lim(x-->0)[(ln(1+x^2+x^5))/(1-cosx)]=lim(d(In(1+x^2+x^5))/d(1-cosx))
=((5x^4+2x)/(1+x^2+x^5))/sinx=lim(x--0)(10x+2)/(6x^5+3x^2+1)=2