Question

\[\lim_{n \rightarrow \infty} ( 2-3x^{2} / x^{2} -1)\]
I know the answer is 0 by a shortcut but can somebody help me solve it algebraically?

Answer 1

I don't know that is 0. One method is if both upper and lower exponents are equal, then the limit is the coefficient in this case -3/1 or minus 3. Algebraic method is to divide each item by the highest exponent x^2, then find limit.