lim(x->无穷)[ln(1+1/x)]/[arc cotx]用洛必达法则求

问题描述:

lim(x->无穷)[ln(1+1/x)]/[arc cotx]用洛必达法则求

lim[ln(1+1/x)]/[arc cotx]
=lim[1/(1+1/x)*(-1)/x^2]/[(-1)/(1+x^2)]
=lim(1+1/x^2)
=1.