lim(x趋近0) (e的x次幂-sinx-1)/(1-根号下1-x)
问题描述:
lim(x趋近0) (e的x次幂-sinx-1)/(1-根号下1-x)
答
lim(x->0) (e^x-sinx-1)/(1-√(1-x) ) (0/0)
=lim(x->0) (e^x-cosx)/(-1/[2√(1-x)] )
= lim(x->0) -2(e^x-cosx).√(1-x)
=0