已知liman=2求lim((n+an)/(n-an))

问题描述:

已知liman=2求lim((n+an)/(n-an))

lim((n+an)/(n-an))
=lim{[(n-an)+2an]/(n-an)}
=lim1+lim(2an/(n-an))
=1+2*lim{1/[(n/an)-1}.
=1+2*1/{lim[(n/an)-1]}.
=1+2*0
=1.