证明数列极限的问题lim13n^2+12n+1/6n^2+5n+6=13/6

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证明数列极限的问题lim13n^2+12n+1/6n^2+5n+6=13/6

证明数列极限的问题lim13n^2+12n+1/6n^2+5n+6=13/6
证明数列极限的问题
lim13n^2+12n+1/6n^2+5n+6=13/6

证明数列极限的问题lim13n^2+12n+1/6n^2+5n+6=13/6
(13n²+12n+1)/(6n²+5n+6)
=(13+ 12/n +1/n²)/(6+ 5/n +6/n²)
n->+∞
12/n->0,1/n²->0,5/n->0,6/n²->0
lim [(13n²+12n+1)/(6n²+6n+6)] =13/6
n->+∞