i cant solve the lim          4n^2/ (n^2-10000n).                        n->∞

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ok, so you have (4*n*n)/(n*n - 10000n)... so your highest order is n*n in both the numerator and the denominator, take the leading coefficient of the numerator and divide it by that of the denominator. The answer is 4/1 or 4