求极限lim[(x-4)/(x+3)]^x x趋向无穷大

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求极限lim[(x-4)/(x+3)]^x x趋向无穷大
求极限lim[(x-4)/(x+3)]^x x趋向无穷大

求极限lim[(x-4)/(x+3)]^x x趋向无穷大
lim[(x-4)/(x+3)]^x
=lim[1-7/(x+3)]^x
={lim[1-7/(x+3)]^[-(x+3)/7]}^-7*lim[1-7/(x+3)]^-3
=e^-7*1
=e^-7

得1

原式=[1-7/（x+3）]^x
=[1-7/(x+3)]^[(x+3)/7*7x/(x+3)]
=e^[7x/(x+3)]
=e^7
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