Search Results for '1�kd(f(x);x)andkn!0asn!1.inthelaststepweusedthefactthatwith0k1itfollowsthatm�n�1xk=0kk1xk=0kk=1 1�k:thusthelimitlimn!1fn(x)existsbecausecauchysequencesconvergeinx.wedenotethelimitx0.by(3.2.2)underit'