设lim x趋于∞(x-2/X+2a)^x=2,则常数a=?
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设lim x趋于∞(x-2/X+2a)^x=2,则常数a=?
设lim x趋于∞(x-2/X+2a)^x=2,则常数a=?
设lim x趋于∞(x-2/X+2a)^x=2,则常数a=?
(x-2)/(x+2a)
=1-(2a+2)/)2x+2a)
令-(2a+2)/)2x+2a)=1/m
则x=(1-a)m-a
所以极限=lim[(1+1/m)^m]^(1-a)*(1+1/m)^(-a)
=e^(1-a)=2
a=1-ln2
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