(d) Determine if the series d its sum. n=1 6 - 5i 4 - 3i converges. If it is,

Q: Use the root test to determine if the series converges or diverges. Inn n n=1 3n - 8 Diverges…

A: The solution is given as

Q: 1. Show that the series (-1)-1 (3n+5) In(n+2)+3 is convergent, and determine how many terms of the…

A: Given that the series    ∑n=1∞(-1)n1(3n+5)ln(n+2)+33

Q: 2n2-1 7n +3n³ + 1 Determine whether the series converges or diverges.

A:

Q: 10. Determine whether the given series converges or diverges. If it converges, find its sum. -2 n=0…

A:

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu, by grouping the…

A:

Q: 2. Determine whether the series 2 (n +1) (n + 2) n=0 converces or diverges. If converges find the…

A: We will just use basic knowledge of tests of positive term real series and some properties of…

Q: Determine whether or not the infinite series below converges.

A: We are given the series,                                    . We can check the converges  by the…

Q: 5.- Demonstrate that the series converges or diverges. n=1 3n+2

A:

Q: 9: Show that the following series converges and find its sum. 1 (2k-1)²* k=1

A: Given series: ∑k=1∞12k-12 To check: The convergency of the series. To find:  Sum of the series.…

Q: Determine whether the series converges or diverges.

A: the given series ∑n=1∞(-1)n(nn+2) To test the series is convergent or divergent. We use the…

Q: 3. Determine and justify whether the series In(i) i=1 converges or diverges.

A: for the given, we would like to test whether the series converges or diverges.

Q: Consider the series (-1)+112n-1 n=1 (n+5)3 11+2 In this problem you must attempt to use the Ratio…

A: