(x+3)/(x+1)指数2x+1极限(x趋向无穷大)
问题描述:
(x+3)/(x+1)指数2x+1极限(x趋向无穷大)
答
利用(1+1/x)^x来求极限。
答
exp 4
答
[(x+3)/(x+1)]^(2x+1)=[1+2/(x+1)]^[(x+1)/2*4-1]
={[1+2/(x+1)]^[(x+1)/2]}^4/(1+2/(x+1))=e^4/1=e^4