Use the Integral Test to determine whether the series is convergent or divergent. 00 n 2...

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Use the Integral Test to determine whether the series is convergent or divergent. 00 n 2 n = 1 n +3 Evaluate the following integral. 00 x + 3 dx Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 n = 2 9 n(In(n)) P Euler found the sum of the p-series with p = 4: 3(4) = n = 1 1 == 4 90 Use Euler's result to find the sum of the series. (a) (5) 54 n = 1 Test the series for convergence or divergence. (-1) + 1 n = 1 converges O diverges 4n6 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms Test the series for convergence or divergence. 00 (-1)7 n = 1 n3n Identify bn. 1 For what values of p is this series convergent? n = 2 - (1) 2 (In(n))P for any p such that p # 0 P 0 n Op Approximate the sum of the series correct to four decimal places. (-1)^n 16" S n = 1 Use the Integral Test to determine whether the series is convergent or divergent. 00 n 2 n = 1 n +3 Evaluate the following integral. 00 x + 3 dx Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 n = 2 9 n(In(n)) P Euler found the sum of the p-series with p = 4: 3(4) = n = 1 1 == 4 90 Use Euler's result to find the sum of the series. (a) (5) 54 n = 1 Test the series for convergence or divergence. (-1) + 1 n = 1 converges O diverges 4n6 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES.) terms Test the series for convergence or divergence. 00 (-1)7 n = 1 n3n Identify bn. 1 For what values of p is this series convergent? n = 2 - (1) 2 (In(n))P for any p such that p # 0 P 0 n Op Approximate the sum of the series correct to four decimal places. (-1)^n 16" S n = 1