f(a)=0 ,f'(a)=1,则lim(n趋于无穷) nf(a-1/n)= 求详解,

问题描述:

f(a)=0 ,f'(a)=1,则lim(n趋于无穷) nf(a-1/n)= 求详解,

lim(n趋于无穷) nf(a-1/n)
=lim(n趋于无穷) -[f(a-1/n)-f(a)]/(-1/n)
=-f'(a)=-1