1. The problem statement, all variables and given/known data

lim.......... (1 + 1/n^2)(7/n+1)

n->infinity

3. The attempt at a solution

lim.......... (1 + 1/n^2)(7/n+1)

n->infinity

= (7/n + 1) + (7/n^3 + n^2)

bring out 7 because constant..

7lim.......... (1/n + 1) + (1/n^3 + n^2)

n->infinity

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7lim.......... (n^2 + n + 1) / (n^3 + 2n^2 +n)

n->infinity

limit does not exist.. am i correct?