极限求解,在线等.(lim x均趋于零用lim表示)求解“lim((3^x)/(6+x))^((x-1)/2)”解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)情高人解释求解过程
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![极限求解,在线等.(lim x均趋于零用lim表示)求解“lim((3^x)/(6+x))^((x-1)/2)”解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)情高人解释求解过程](/uploads/image/z/13060040-32-0.jpg?t=%E6%9E%81%E9%99%90%E6%B1%82%E8%A7%A3%2C%E5%9C%A8%E7%BA%BF%E7%AD%89.%EF%BC%88lim+x%E5%9D%87%E8%B6%8B%E4%BA%8E%E9%9B%B6%E7%94%A8lim%E8%A1%A8%E7%A4%BA%EF%BC%89%E6%B1%82%E8%A7%A3%E2%80%9Clim%28%283%5Ex%29%2F%286%2Bx%29%29%5E%28%28x-1%29%2F2%29%E2%80%9D%E8%A7%A3%E7%AD%94%E8%BF%87%E7%A8%8B%EF%BC%9A%E5%8E%9F%E5%BC%8F%3Dlim%5B%281-3%2F%286%2Bx%29%29%5E-%28%286%2Bx%29%2F3%29%5D%5E-%283%2F2%29%2Alim%281-3%2F%286%2Bx%29%29%5E-%287%2F2%29%3De%5E-%EF%BC%883%2F2%EF%BC%89%E6%83%85%E9%AB%98%E4%BA%BA%E8%A7%A3%E9%87%8A%E6%B1%82%E8%A7%A3%E8%BF%87%E7%A8%8B)
极限求解,在线等.(lim x均趋于零用lim表示)求解“lim((3^x)/(6+x))^((x-1)/2)”解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)情高人解释求解过程
极限求解,在线等.
(lim x均趋于零用lim表示)
求解“lim((3^x)/(6+x))^((x-1)/2)”
解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)
情高人解释求解过程
极限求解,在线等.(lim x均趋于零用lim表示)求解“lim((3^x)/(6+x))^((x-1)/2)”解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)情高人解释求解过程
3^x是不是3+x?
另外,x应该趋于无穷
(3+x)/(x+6)
=(x+6-3)/(x+6)
=(x+6)/(x+6)-3/(x+6)
=1-3/(x+6)
令1/a=-3/(x+6),则a趋于无穷
x+6=-3a
(x-1)/2=(-3a-7)/2
所以原式=(1+1/a)^[(-3a-7)/2]
=(1+1/a)^(-3a/2)÷(1+1/a)^(7/2)
=[(1+1/a)^a]^(-3/2)÷(1+1/a)^(7/2)
显然(1+1/a)^a极限是e
(1+1/a)^(7/2)极限是1
所以原来极限=e^(-3/2)
极限求解,在线等.(lim x均趋于零用lim表示)求解“lim((3^x)/(6+x))^((x-1)/2)”解答过程:原式=lim[(1-3/(6+x))^-((6+x)/3)]^-(3/2)*lim(1-3/(6+x))^-(7/2)=e^-(3/2)情高人解释求解过程
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