Calculus 2: Alternating series and absolute convergence
Determine which of the given series might be suitable for an alternating series test, especially those containing terms like .
Consider the series that starts from one goes to infinity: . Will the alternating harmonic series converge or diverge?
Consider the series which goes from 1 to infinity: . Will this series converge or diverge?
Consider the series: . Will the series converge or diverge?
Consider the series . Will the series converge or diverge?
Let's say the series is . Will it converge or diverge?
Consider the series . Can we apply the alternating series test to it?
Take the series , where is positive. Determine if the series is convergent or divergent based on if and .
Apply the alternating series test to different series to determine convergence or divergence: and .
Given an alternating series , determine if the series converges using the Alternating Series Test.
Determine if the series converges using the alternating series test.
Determine if the series converges using the alternating series test.
Approximate the sum of the series correct to two decimal places.
Approximate the sum of the series correct to three decimal places.
Determine the interval of convergence for the series .
Find the sum and evaluate it.