A series bn is called conditionally convergent if it converges and the corresponding series of positive terms converges. O it converges but the corresponding series of positive terms diverges. it diverges and the corresponding series of positive terms diverges. it diverges but the corresponding series of positive terms converges.

Q: 7. Show that 1 4 2r(2r + 2) (2r + 2)(2r + 4) 2r(2r + 2) (2r +4) el Hence find the sum of the n-th…

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Q: 1. Consider the following two infinite series: 31 2k and 24 k (a) One of these series is NOT…

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Q: We want to use the Alternating Series Test to determine if the series: k³ √k7 + 10 k=4 (−1)k+2_…

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Q: 16. Determine if the alternating series converges or diverges E-1(-1)n+1. Make sure to check that 2n…

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Q: We want to use the Alternating Series Test to determine if the series: k² √k6 +3 k=4 (−1)k+2_…

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

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Q: 3. Give an example of divergent series n=1dn and Ln=1 6n for which the series ("q + "p) converges.

A: Given: that An example of divergent series ∑n=1∞ an and ∑n=1∞ bn for which the series  ∑n=1∞ an+bn…

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

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Q: 4.- Suppose we have a number with infinite decimals of the form 0.d₁d₂d3d4... (where each d₂ = 0, 2,…

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

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Q: 0.99999... 1. = If Σ=1 an = A and 1 bn = B, then 1 anbn = AB. The sequence on and the series…

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Q: an Suppose 2 a, and 2 bn are series with positive terms. If lim = c, where c is and value of C is…

A: We have to complete the statement

Q: In(k5) k8 +2 converge absolutely, converge conditionally or diverge? Does the series k=2 (-1)…

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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: Σ is equal to n+1 alue of the partial sum of the infinite series ......

A: Given series is ∑n=1∞1n-1n+1

Q: 2).  For an as follows, write the sum        an as a geometric series. a1 =  1 14 and  an an + 1

A: This is a question of infinite series.