lim x→0 (cot x)^tan 2x=
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limx→0(cotx)^tan2x=limx→0(cotx)^tan2x=limx→0(cotx)^tan2x=设y=(cotx)^(tan2x)lny=tan2xlncotx=lncotx/(co
lim x→0 (cot x)^tan 2x=
lim x→0 (cot x)^tan 2x=
lim x→0 (cot x)^tan 2x=
设y=(cotx)^(tan2x)
lny=tan2x lncotx=lncotx/(cot2x)
lim【x→0】lncotx/(cot2x)
=lim【x→0】(-csc²x/cotx)/(2csc²2x)
=lim【x→0】-4sin2x
=0
所以lim【x→0】(cotx)^(tan2x)=1
lim x→0 (cot x)^tan 2x=
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