Question

数分题求解

Answer 1

=lim(1/(x+1)-1)/(-sinx)=limx/sinx(x+1)=lim1/(x+1)=1
=lim(sec²x-1)/(1-cosx)=lim2tanxsec²x/sinx=2
=limlnx/cscx=lim(1/x)/(-cotxcscx)=lim-tanx=0
=lim(sin²x-x²)/x²sin²x=lim(sin²x-x²)/x^4=lim(2sinxcosx-2x)/4x^3=lim(2cos2x-2)/12x²=lim-4sin²x/12x²=-1/3
=lime^((lntanx-lnx)/x²)=lime^((sec²x/tanx-1/x)/2x)=lime^((2x-sin2x)/2x²sin2x)=lime^((2x-sin2x)/4x^3)=lime^((2-2cos2x)/12x²)=lime^(2sin²x/6x²)=e^(1/3)

追问

谢谢🙏