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

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

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.