1003047306 | math4u.vsb.cz

SubArea:

Limit of a sequence

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Project ID:

1003047306

Accepted:

1

Clonable:

0

Easy:

1

Which of the following expressions describes the correct calculation of the limit?

L = lim_{n \to \infty} \frac{7 n^{4} + 6 n^{3} - 5 n^{2}}{8 n^{5} - 7 n^{4} + 6}

L = lim_{n \to \infty} \frac{\frac{7}{n} + \frac{6}{n^{2}} - \frac{5}{n^{3}}}{8 - \frac{7}{n} + \frac{6}{n^{5}}} = 0

L = lim_{n \to \infty} \frac{7 + \frac{6}{n} - \frac{5}{n^{2}}}{8 n - 7 + \frac{6}{n^{4}}} = - 1

L = lim_{n \to \infty} \frac{7 + 6 - 5 n^{2}}{8 n - 7 n + 6} = - \infty

L = lim_{n \to \infty} \frac{7 + \frac{6}{n} - \frac{5}{n^{2}}}{8 - \frac{7}{n} + \frac{6}{n^{5}}} = \frac{7}{8}

L = lim_{n \to \infty} \frac{\frac{7}{n} + \frac{6}{n^{2}} - \frac{5}{n^{3}}}{8 n - 7 + \frac{6}{n^{4}}} = 0