Question

Consider the series $\sum_{n=1}^{\infty} \frac{7n^1}{n^4 + 5}$. Which of the following is the best test to use in order to determine the convergence/divergence of the series? A. The Root Test. B. The Comparison Test with the series $\sum_{n=1}^{\infty} \frac{7}{5n^4}$. C. The Limit Comparison Test with the sequence $\{\frac{7}{n^3}\}_{n=1}^{\infty}$. D. The Integral Test. E. The Ratio Test. F. The Limit Comparison Test with the series $\sum_{n=1}^{\infty} \frac{1}{n^3}$.

          Consider the series $\sum_{n=1}^{\infty} \frac{7n^1}{n^4 + 5}$.
Which of the following is the best test to use in order to determine the convergence/divergence of the series?
A. The Root Test.
B. The Comparison Test with the series $\sum_{n=1}^{\infty} \frac{7}{5n^4}$.
C. The Limit Comparison Test with the sequence $\{\frac{7}{n^3}\}_{n=1}^{\infty}$.
D. The Integral Test.
E. The Ratio Test.
F. The Limit Comparison Test with the series $\sum_{n=1}^{\infty} \frac{1}{n^3}$.

$Consider the series ∑n=1^∞(7n^1)/(n^4 + 5). Which of the following is the best test to use in order to determine the convergence/divergence of the series? A. The Root Test. B. The Comparison Test with the series ∑n=1^∞(7)/(5n^4). C. The Limit Comparison Test with the sequence {(7)/(n^3)}n=1^∞. D. The Integral Test. E. The Ratio Test. F. The Limit Comparison Test with the series ∑n=1^∞(1)/(n^3).$

Added by Barbara K.

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