求极限···lim ln(sinx/x) x趋近0 请各位大侠详细说下

Answer 1

x趋近0, lim ln(sinx/x) =lnlim(sinx/x) =ln1=0

Answer 2

lim ln(sinx/x) x趋近0
lim (sinx/x)=1 当x趋近0
故lim ln(sinx/x)=ln1=0 当x趋近0

Answer 3

解：
limln(sinx/x)[x->0]
=limln(dsinx/dx)[x=0]
=limln(cosx/1)[x=0]
=limln(cos0/1)
=limln(1)