x→1+时,1/(x-1)→+∞,arctan(1/(x-1)→π/2,lin(x→1+)f(x)=π/2,x→1-时,1/(x-1)→-∞,arctan(1/(x-1)→-π/2,lin(x→1+)f(x)=-π/2.
lim(x->1-)f(x)=lim(x->1-){arctan[1/(x-1)]= -π/2lim(x->1+)f(x)=lim(x->1+){arctan[1/(x-1)]= π/2lim(x->1)f(x) 不存在