[(2n+3n)/( 2n+1+3n+1)]的极限,n趋于无穷

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[(2n+3n)/(2n+1+3n+1)]的极限,n趋于无穷[(2n+3n)/(2n+1+3n+1)]的极限,n趋于无穷[(2n+3n)/(2n+1+3n+1)]的极限,n趋于无穷上下除以3^n原式=

[(2n+3n)/( 2n+1+3n+1)]的极限,n趋于无穷
[(2n+3n)/( 2n+1+3n+1)]的极限,n趋于无穷

[(2n+3n)/( 2n+1+3n+1)]的极限,n趋于无穷
上下除以3^n
原式=lim[(2/3)^n+1]/[2*(2/3)^n+3]
(2/3)^n趋于0
所以原式=(0+1)/(0+3)=1/3