12 HL The Ratio Test

Complete the following questions before our next class.

Use the ratio test to determine the convergence or divergence of the following series.

  1. \[\sum_{n=1}^\infty \frac{n^3 3^{n+1}}{4^n}\]
  2. \[\sum_{n=1}^\infty \frac{n^{10}}{10^n}\]
  3. \[\sum_{n=1}^\infty \frac{n^n}{n!}\]
Click for a hint to question 3.
Consider the definition of \(e\).

From the Haese book, complete Exercise K.3 question 1.

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