极限 1+X/1-X的cotx次方 x到0x->0时,ln [1+ 2x/(1-x)] 2x/(1-x) 2x ,e ^ lim(x->0) cotx * ln [1+ 2x/(1-x)]这两步不懂

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极限1+X/1-X的cotx次方x到0x->0时,ln[1+2x/(1-x)]2x/(1-x)2x,e^lim(x->0)cotx*ln[1+2x/(1-x)]这两步不懂极限1+X/1-X的cotx次

极限 1+X/1-X的cotx次方 x到0x->0时,ln [1+ 2x/(1-x)] 2x/(1-x) 2x ,e ^ lim(x->0) cotx * ln [1+ 2x/(1-x)]这两步不懂
极限 1+X/1-X的cotx次方 x到0
x->0时,ln [1+ 2x/(1-x)] 2x/(1-x) 2x ,e ^ lim(x->0) cotx * ln [1+ 2x/(1-x)]这两步不懂

极限 1+X/1-X的cotx次方 x到0x->0时,ln [1+ 2x/(1-x)] 2x/(1-x) 2x ,e ^ lim(x->0) cotx * ln [1+ 2x/(1-x)]这两步不懂
当x->0时,ln [1+ 2x/(1-x)] 2x/(1-x) 2x ,
lim(x->0) [1+ 2x/(1-x)] ^ (cotx)
= e ^ lim(x->0) cotx * ln [1+ 2x/(1-x)]
= e ^ lim(x->0) ln [1+ 2x/(1-x)] / tanx
= e ^ lim(x->0) 2 x / tanx
= e^2