What is the limit as n approaches infinity of n-3n^2 ?

The limit as n approaches infinity of n-3n^2 is -infinity

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limit as n approaches infinity of n-3n^2

n \to \infty lim (n - 3 n^{2})

- \infty

Solution steps

n \to \infty lim (n - 3 n^{2})

Apply Infinity Property:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is even

a = - 3, n = 2

= - \infty

What is the limit as n approaches infinity of n-3n^2 ?
The limit as n approaches infinity of n-3n^2 is -infinity