Find the limit. (If you need to use - or , enter -INFINITY or INFINITY. Enter your answer as a fraction. If an answer does not exist, enter DNE.)

http://www.webassign.net/cgi-bin/symimage.cgi?expr=lim_%28y-%3Einfinity%29%20%289%20-%202%20y%5E2%29%2F%286%20y%5E2%20%2B%207%20y%29

Question

Find the limit. (If you need to use - or , enter -INFINITY or INFINITY. Enter your answer as a fraction. If an answer does not exist, enter DNE.)

http://www.webassign.net/cgi-bin/symimage.cgi?expr=lim_%28y-%3Einfinity%29%20%289%20-%202%20y%5E2%29%2F%286%20y%5E2%20%2B%207%20y%29

anonymous · Answer

-2/6=-1/3

anonymous · Answer

you can see that it is -1/3 if you divide the nominator and the denominator by y^2 than you will get: 
lim 9/y^2 -2  / (6+7/y)
9/y^2 tends to 0 7/y tends to 0, so lim= 0-2/(6+0)=-1/3