11. Use the alternating series test to determine whether the series is is convergent or divergent. 1- 1/4 + 1/9 1/16 + .. .

Q: Evaluate the telescoping series or state whether the series diverges. (If the quantity diverges,…

A:

Q: 6. Are the following series convergent? Why? (a). (b) 00 n=1 α 2 (3n-1)1.3 n=1 n2 – 1 2η2 + η

A: The given series are ,  (a).        ∑n=1∞2(3n-1)1.3 (b).         ∑n=1∞ n2-12n2+n (.)  Necessary…

Q: Check the convergence of the following power series, find the radius and interval of conver- gence:…

A: Given: a ∑1∞nnxn b ∑1∞ x+πnn c ∑0∞x2+13n To find : Radius and interval of convergence

Q: 2. Determine whether the series converges or diverges and if the series converges, find its sum. E…

A:

Q: 5.) Determine the convergence or divergence of the series In n=1

A:

Q: Σε ≡ the series Σ (-1) ¹2" n! n=1 or divergent? Justify your answer. absolutely convergent, C

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 Σ 1 n4/5 n =…

A: Given series is ∑n=2∞1n45 - 1

Q: 48. Form the series ... + 9? – vf + q} - f +q} (a) Express this series in E notation. (b) For what…

A:

Q: Determine whether the every-other-term harmonic series 1 +1/ 3+1/ 5+1/ 7+ . . .       converges or…

A: Comparison test: If limn→∞anbb=positive and finite then both an and bn are convergent or divergent.…

Q: (b) Test the convergence of the series by ratio test. 00

A: Ratio rest is as follows

Q: 2. Using the ratio test, determine whether the following series are convergent or divergent: 1 1 1…

A: Explanation of the solution is given below....

Q: Determine the convergence or divergence of the series

A: We have to find if the given series converges or diverges.   For this we will use the integral test…

Q: 3-32 Determine whether Σ 2n +1 O JAGL n+1 5.2 9" obni 7. 3 + 10" 3,

A:

Q: Determine the convergence or divergence of the series.

A: The answer is given below.Explanation: