For this question, type all word answers (such as PI or INFINITY) in all capital

Question

For this question, type all word answers (such as PI or INFINITY) in all capital letters, and write any fractions as decimal answers. Consider the series 4/ln(n)+n We know that the p-series 1/n is divergent (because p= 1 is not larger than 1), and we know that the p -series 1/n2 is convergent (because p=2>1). Use the Limit Comparison Test to (with these two p-series) to determine if is convergent or divergent. Using the Limit Comparison Test with Using the Limit Comparison Test with By the Limit Comparison Test and the results above, the series

Explanation / Answer

lim (4n)/(n+ln(n)) = 4 so c=4 for the first question

lim (4n^2)/(n+ln(n)) = INFINITY , so c=INFINITY for the second question

Trivially divergent since c=4 for the test with 1/n by limit comparison test

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