8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

Q: Suppose that Cna" converges when x = -5 and diverges when x = 7. Determine whether the following…

A: The series ∑n=0∞cnxn converges when x=-5 and diverges when x=7. We have to find the convergence and…

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: What are all values of x for which the series (x - 1)" N JT converges?

A:

Q: 5. Consider the geometric series (3x )" , determine for what values of x does the series n=0…

A:

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

A:

Q: Σ3" 6.6 Find the function represented by the power series 3nt > E". Determine its interval of…

A:

Q: 10. Find the radius of convergence and interval of convergence of the series 2"n²a". n=1

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Q: 9. Use the alternating series test to determine whether 2(-1)"ne-" converges or diverges. n=1

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Q: 9. Use the alternating series test to determine whether >(-1)"ne -n e converges or diverges. n=1

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Q: ,1/2 Σ (n+1)"² 1/2 n=1

A:

Q: 10. Find the values of x for which the following power series converge: (a) nkan for k an integer.…

A:

Q: 1. Show that each alternating series converges 2 b. Σ(-1)" 3n+1 n=1 a. Σ(−1) n=1 n+1 n+1 n n² +1

A: