设lim[(x+2a)/(x-a)]^x=8,则a=__.(x趋于无穷)我知道百度的解是(x+2a)/(x-a)=1+3a/(x-a)lim[(x+2a)/(x-a)]^x=lim {[1+3a/(x-a)]^(x-a)/3a}^3ax/(x-a)=e^3a=83a=3ln2a=ln2但是lim {[1+3a/(x-a)]^(x-a)/3a}^3ax/(x-a)为什么=e^3a啊好着急lim {[1+3a
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设lim[(x+2a)/(x-a)]^x=8,则a=__.(x趋于无穷)我知道百度的解是(x+2a)/(x-a)=1+3a/(x-a)lim[(x+2a)/(x-a)]^x=lim {[1+3a/(x-a)]^(x-a)/3a}^3ax/(x-a)=e^3a=83a=3ln2a=ln2但是lim {[1+3a/(x-a)]^(x-a)/3a}^3ax/(x-a)为什么=e^3a啊好着急lim {[1+3a