(x+3)/(x+1)指数2x+1极限(x趋向无穷大)

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(x+3)/(x+1)指数2x+1极限(x趋向无穷大)(x+3)/(x+1)指数2x+1极限(x趋向无穷大)(x+3)/(x+1)指数2x+1极限(x趋向无穷大)[(x+3)/(x+1)]^(2x+1

(x+3)/(x+1)指数2x+1极限(x趋向无穷大)
(x+3)/(x+1)指数2x+1极限(x趋向无穷大)

(x+3)/(x+1)指数2x+1极限(x趋向无穷大)
[(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

exp 4

利用(1+1/x)^x来求极限。