lim(x趋向于π/4) sinx-cosx/tan^2 x-1
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lim(x趋向于π/4)sinx-cosx/tan^2x-1lim(x趋向于π/4)sinx-cosx/tan^2x-1lim(x趋向于π/4)sinx-cosx/tan^2x-1lim(x-->π/
lim(x趋向于π/4) sinx-cosx/tan^2 x-1
lim(x趋向于π/4) sinx-cosx/tan^2 x-1
lim(x趋向于π/4) sinx-cosx/tan^2 x-1
lim(x-->π/4)（ sinx-cosx)/(tan² x-1)
=lim(x-->π/4)（ sinx-cosx)/(sin² x/cos²x-1)
=lim(x-->π/4)（ sinx-cosx)cos²x/(sin² x- cos²x)
=lim(x-->π/4)（ sinx-cosx)cos²x/(sinx- cosx)[(sinx+cosx)]
=lim(x-->π/4) cos²x/(sinx+cosx)
=(1/2)/√2
=√2/4
lim(x->π/4) sinx-cosx/tan^2 x-1=lim(x->π/4) cosx+sinx/2tanxsec^2x=根号（2）/4
lim(x趋向于π/4) sinx-cosx/tan^2 x-1
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