lim[(x+a)/(x-a)]^x
=lim[1+2a/(x-a)]^x
=lim{[1+2a/(x-a)]^[(x-a)/2a]}^[2ax/(x-a)]
=lim e^[2ax/(x-a)]
=e^{lim[2ax/(x-a)]}
=e^(2a)
設(shè)a不等于0,x趨于正無窮大,求(x+a)/(x-a)的x次冪的極限
設(shè)a不等于0,x趨于正無窮大,求(x+a)/(x-a)的x次冪的極限
數(shù)學(xué)人氣:502 ℃時間:2019-08-28 04:19:58
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