企源知识库

求极限lim_x→2(x/2)^1/(x-2).
【正确答案】：lim_x→2(x/2)^1/(x-2)=lim_x→2[(x-2+2)/2]^1/(x-2)=lim_x→2{1+[(x-2)/2]^2/(x-2)}^1/2=e^1/2．